{"id":1699,"date":"2012-05-03T13:14:13","date_gmt":"2012-05-03T05:14:13","guid":{"rendered":"http:\/\/vanabel.sinaapp.com\/?p=1699"},"modified":"2012-05-03T13:14:13","modified_gmt":"2012-05-03T05:14:13","slug":"%e6%9c%89%e6%9c%8b%e8%87%aa%e8%bf%9c%e6%96%b9%e6%9d%a5%e4%b8%80%e4%b8%80%e4%b8%93%e8%ae%bf%e5%a7%9c%e4%bc%af%e9%a9%b9%e6%95%99%e6%8e%88","status":"publish","type":"post","link":"https:\/\/lttt.vanabel.cn\/?p=1699","title":{"rendered":"\u6709\u670b\u81ea\u8fdc\u65b9\u6765\u4e00\u4e00\u4e13\u8bbf\u59dc\u4f2f\u9a79\u6559\u6388"},"content":{"rendered":"
\n

\"\"<\/a><\/p>\n

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 <\/p>\n

\u7b56\u753b :\u5218\u592a\u5e73<\/p>\n

\u8bbf\u8c08 :\u5218\u592a\u5e73\u3001\u5218\u4e30\u54f2<\/p>\n

\u8bb0\u5f55 :\u6797\u5efa\u79c0<\/p>\n

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\n
\n <\/p>\n

 <\/p>\n

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 <\/p>\n

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\n<\/p>\n

\u5218\u592a\u5e73:\u4f60\u8bf4\u662f\u5357\u6e2f?<\/p>\n

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\u5218\u4e30\u54f2:\u5f53\u65f6\u671d\u9c9c\u6218\u4e89\u5bf9\u5927\u5b66\u6709\u6ca1\u6709\u5f71\u54cd?
\n
\n\u59dc\u4f2f\u9a79:\u867d\u7136\u6709\u4e9b\u4eba\u53bb\u53c2\u519b, \u4f46\u662f\u4eba\u6570\u4e0d\u5f88\u591a, \u81f3\u5c11\u7531\u6570\u5b66\u7684\u89d2\u5ea6\u770b\u6765\u3002<\/p>\n

\u5218\u4e30\u54f2:\u60a8\u65b9\u624d\u63d0\u5230\u9648\u7701\u8eab\u5148\u751f\u57f9\u517b\u4e00\u6279\u5e74\u9752\u4eba, \u57281949\u5e74, \u8fd9\u6279\u4eba\u662f\u5426\u4e5f\u4e00\u8d77\u5230\u4e86\u5317\u5927?<\/p>\n

\u59dc\u4f2f\u9a79:\u6709\u5728\u5317\u5927, \u4e5f\u6709\u5728\u5176\u4ed6\u5927\u5b66, \u50cf\u6e05\u5927\u3001\u5357\u4eac\u5927\u5b66\u3002<\/p>\n

\u5218\u4e30\u54f2:\u4e2d\u56fd\u79d1\u5b66\u9662\u662f\u5728\u4f55\u65f6\u6210\u7acb?<\/p>\n

\u59dc\u4f2f\u9a79:\u6b63\u5f0f\u6210\u7acb\u662f\u57281950\u5e74\u3002<\/p>\n

\u5218\u4e30\u54f2:\u6240\u4ee5\u539f\u6765\u7684\u6570\u5b66\u6240\u662f\u5e76\u5230\u90a3\u8fb9\u53bb\u4e86?<\/p>\n

\u59dc\u4f2f\u9a79:\u6211\u4e0d\u6e05\u695a\u3002\u56e0\u4e3a\u4e2d\u7814\u9662\u6570\u5b66\u6240\u642c\u8fc7\u6765, \u7559\u5728\u5927\u9646\u7684\u4eba, \u591a\u6570\u53bb\u4e86\u5b66\u6821, \u5927\u6982\u4e5f\u6709\u53bb\u4e2d\u56fd\u79d1\u5b66\u9662\u7684, \u8fc7\u7a0b\u6211\u5e76\u4e0d\u6e05\u695a\u3002\u800c\u6211\u4eec\u5f97\u76ca\u4e8e\u5f53\u65f6\u90a3\u4e00\u6279\u5e74\u9752\u4eba, \u50cf\u6211\u8fdb\u5927\u5b66, \u5934\u4e24\u5e74\u534a\u7684\u4e3b\u8981\u8bfe\u7a0b\u90fd\u662f\u9648\u6770\u5148\u751f\u6559\u7684, \u9648\u6770\u5148\u751f\u4e5f\u66fe\u5230\u8fc7\u53f0\u6e7e, \u8fd9\u4e9b\u90fd\u662f\u66fe\u5728\u4e2d\u7814\u9662\u6570\u5b66\u6240\u5f85\u4e0a\u4e00\u6bb5\u7684\u4eba, \u6240\u4ee5\u6211\u4eec\u89c9\u5f97\u5f88\u5e78\u8fd0\u80fd\u53d7\u5176\u6307\u5bfc\u3002<\/p>\n

\u5218\u592a\u5e73:\u60a8\u4e2a\u4eba\u5f53\u5b66\u751f\u57281953-1957\u5e74\u95f4\u8bfe\u7a0b\u5f88\u7d27, \u540c\u5b66\u95f4\u6c14\u6c1b\u3001\u5b66\u4e60\u60c5\u51b5\u5982\u4f55?<\/p>\n

\u59dc\u4f2f\u9a79:\u5927\u5bb6\u90fd\u5f88\u52aa\u529b, \u6574\u4e2a\u56fd\u5bb6\u5f88\u6709\u5efa\u8bbe\u6c14\u6c1b\u3002<\/p>\n

\u5218\u4e30\u54f2:\u90a3\u65f6\u662f\u6bd4\u8f83\u5e73\u9759, \u5b66\u751f\u5ff5\u5b8c\u56db\u5e74\u540e, \u82e5\u8fdb\u4e00\u6b65\u7814\u7a76, \u662f\u5426\u8fdb\u7814\u7a76\u6240\u6216\u6d3e\u51fa\u56fd?<\/p>\n

\u59dc\u4f2f\u9a79:\u6709\u5c11\u6570\u4eba\u5230\u4e86\u4e2d\u56fd\u79d1\u5b66\u9662\u6570\u5b66\u6240, \u5176\u4ed6\u4eba\u5219\u5230\u5404\u5927\u5b66\u3002<\/p>\n

\u5218\u592a\u5e73:\u60a8\u6bd5\u4e1a\u65f6, \u662f\u5426\u6709\u540c\u5b66\u5199\u8fc7re\u00adsearch paper?<\/p>\n

\u59dc\u4f2f\u9a79:\u5f53\u65f6\u5c31\u9700\u8981\u5199\u6bd5\u4e1a\u8bba\u6587\u3002\u5b66\u5f97\u8f83\u597d\u7684\u5b66\u751f\u7684\u8bba\u6587\u548c\u73b0\u5728\u7855\u58eb\u8bba\u6587\u6c34\u5e73\u5dee\u4e0d\u591a\u3002<\/p>\n

\u5218\u592a\u5e73:\u6240\u4ee5\u4ee5\u6b64\u770b\u6765, \u5927\u5b66\u548c\u7814\u7a76\u6240\u662f\u7ed3\u5408\u5728\u4e00\u8d77\u4e86\u3002\u90a3\u662f\u5927\u4e09\u3001\u5927\u56db\u4fbf\u8ddf\u4e00\u4e2a\u8001\u5e08\u60f3\u95ee\u9898\u4e86\u3002<\/p>\n

\u59dc\u4f2f\u9a79:\u5f53\u65f6\u5927\u56db\u79f0\u4e3a\u300c\u4e13\u95e8\u5316\u300d, \u5982\u6211\u6240\u9009\u7684topology, \u53ea\u6709\u56db\u4e2a\u5b66\u751f\u3002<\/p>\n

\u5218\u592a\u5e73:\u90a3\u662f\u975e\u5e38\u83c1\u82f1\u7684\u6559\u80b2\u4e86\u3002<\/p>\n

\u5218\u4e30\u54f2:\u6536\u8fdb\u53bb\u662f\u4e8c\u767e\u4eba\u3002<\/p>\n

\u59dc\u4f2f\u9a79:\u4e8c\u767e\u4eba\u4e13\u95e8\u5316, \u5927\u7684\u5982\u5f53\u65f6promote\u7684\u5fae\u5206\u65b9\u7a0b\u3001\u6982\u7387\u548c\u8ba1\u7b97\u6570\u5b66, \u4e00\u4e2a\u73ed30\u4eba, \u800c\u5c0f\u7684\u5982topology\u3001geometry\u7b49\u8981\u597d\u591a\u4e2a\u4e3b\u9898\u5408\u5728\u4e00\u8d77\u624d\u4e00\u4e2a\u73ed\u3002<\/p>\n

\u5218\u592a\u5e73:\u90a3\u60a8\u4e2a\u4eba\u4e3a\u4f55\u60f3\u5b66topology?<\/p>\n

\u59dc\u4f2f\u9a79:\u8fd9\u548c\u6c5f\u6cfd\u6db5\u5148\u751f\u5f88\u6709\u5173\u7cfb\u3002\u5176\u5b9e\u6211\u7b2c\u56db\u5e74\u7684\u6307\u5bfc\u8001\u5e08\u662f\u5ed6\u5c71\u6d9b\u5148\u751f, \u4f46\u5728\u4e09\u5e74\u7ea7\u5c1a\u672a\u4e13\u95e8\u5316\u65f6, \u5b66\u4e60\u6210\u7ee9\u8f83\u597d\u7684\u5b66\u751f, \u53ef\u7531\u4e00\u4e2a\u6307\u5bfc\u8001\u5e08\u6307\u5bfc\u4ed6\u5199\u5b66\u5e74\u8bba\u6587, \u8fd9\u662f\u5f88\u6709\u5f71\u54cd\u7684, \u81f3\u5c11\u50cf\u6211\u4e09\u5e74\u7ea7\u7684\u5b66\u5e74\u8bba\u6587\u8001\u5e08\u662f\u6c5f\u6cfd\u6db5\u5148\u751f\u3002<\/p>\n

\u5218\u4e30\u54f2:\u6211\u5f88\u65e9\u4fbf\u542c\u8fc7\u6c5f\u6cfd\u6db5\u5148\u751f, 1958\u5e74\u51ac\u5929\u65f6\u9648\u7701\u8eab\u5148\u751f\u56de\u5230\u53f0\u6e7e, \u4ed6\u544a\u8bc9\u6211\u4eec\u8981\u53bb\u770b\u6c5f\u6cfd\u6db5\u5148\u751f\u6240\u7ffb\u8bd1\u7684\u4e00\u672ctopol\u00adogy\u7684\u4e66;\u800c\u5ed6\u5c71\u6d9b\u5148\u751f\u6211\u7b2c\u4e00\u6b21\u770b\u5230\u4ed6\u7684\u540d\u5b57\u5219\u662f\u5728\u65e7\u4e66\u5e97, \u770b\u4e00\u672c\u5fb7\u6587\u7684\u65e7\u4e66\u7b2c\u4e00\u9875\u76d6\u4e86\u5ed6\u5c71\u6d9b\u7684\u5370, \u76f4\u5230\u51fa\u56fd\u5ff5\u4e66\u540e, \u624d\u77e5\u9053\u539f\u6765\u5ed6\u5c71\u6d9b\u5148\u751f\u539f\u6765\u662f\u5728\u6570\u5b66\u6240\u3002\u6240\u4ee5\u4f60\u4eec\u5f53\u65f6\u7814\u7a76topology\u662f\u6709\u56db\u4e2a\u5b66\u751f?<\/p>\n

\u59dc\u4f2f\u9a79:\u53ef\u662f\u540e\u6765\u7ee7\u7eed\u4f5ctopology\u7684\u5c31\u53ea\u6709\u6211\u4e00\u4e2a\u4eba\u3002<\/p>\n

\u5218\u592a\u5e73:\u60a8\u6bd5\u4e1a\u540e, \u53d1\u8868\u4e86\u6bd5\u4e1a\u8bba\u6587, \u53ef\u8bf4\u6709\u4e00\u57fa\u672c\u65b9\u5411, \u4e4b\u540e\u662f\u5426\u8fd8\u548c\u4ec0\u4e48\u4eba\u8ba8\u8bba\u5462?<\/p>\n

\u59dc\u4f2f\u9a79:\u56e0\u4e3a\u653f\u6cbb\u8fd0\u52a8\u5f00\u59cb\u540e, \u4fbf\u505c\u987f\u4e86\u3002\u5f53\u65f6\u5230\u4e86\u94c1\u9053\u90e8\u95e8\u53bb\u505a\u6280\u672f\u6027\u7684\u4e8b, \u4e5f\u66fe\u5e26\u7740\u5b66\u751f\u4fee\u6c34\u575d, \u76f4\u52301962\u5e74, \u624d\u53c8\u91cd\u65b0\u7814\u7a76\u6570\u5b66\u3002
\n
\n\u5218\u592a\u5e73:\u662f\u5426\u6709\u548c\u4fc4\u56fd\u4eba\u4ea4\u6d41?<\/p>\n

\u59dc\u4f2f\u9a79:\u6ca1\u6709, \u5f53\u65f6\u4e2d\u4fc4\u4e24\u56fd\u5df2\u7ecf\u4ea4\u6076\u4e86\u3002\u6240\u4ee5\u5f53\u65f6\u5c31\u662f\u6c5f\u6cfd\u6db5\u5148\u751f\u4e3b\u6301\u4e00\u4e2asem\u00adinar, \u800c\u6211\u5f53\u65f6\u662f\u4e00\u5e74\u8f7b\u6559\u5458, \u4e0b\u9762\u4fbf\u662f\u5b66\u751f\u4e86\u3002\u800c1962\u5e74\u6240\u63a5\u89e6\u7684\u90a3\u6279\u5b66\u751f, \u4ed6\u4eec\u5df2\u7ecf\u6539\u62106\u5e74\u5236\u4e86\u3002\u56e0\u4e3a\u5f53\u65f6\u56fd\u5bb6\u5904\u4e8e\u4e0d\u5229\u7684\u60c5\u51b5, \u548c\u7f8e\u3001\u4fc4\u7684\u4ea4\u60c5\u5747\u4e0d\u597d, \u56e0\u6b64\u8c08\u4e0d\u4e0a\u6709\u4ec0\u4e48\u56fd\u9645\u5408\u4f5c\u3002\u4f46\u7531\u5e08\u751f\u4e00\u8d77\u4f5c\u7814\u7a76\u7684\u89d2\u5ea6\u6765\u8bf4, \u6c14\u6c1b\u5f88\u597d\u3002<\/p>\n

\u5218\u592a\u5e73:\u6211\u77e5\u9053\u5f53\u65f6\u7684\u5fae\u5206\u65b9\u7a0b\u7684se\u00adminar\u4e5f\u662f\u8fdb\u884c\u7684\u5f88\u70ed\u7edc\u3002<\/p>\n

\u59dc\u4f2f\u9a79:\u5404\u65b9\u9762\u7686\u662f\u5982\u6b64\u3002\u57281957\u5e74\u4ee5\u524d\u4e3b\u8981\u662f\u57f9\u517b\u5b66\u751f, \u800c\u8fd9\u4e2a\u57fa\u7840\u5bf9\u540e\u6765\u53d1\u5c55\u76f8\u5f53\u91cd\u8981\u3002<\/p>\n

\u5218\u592a\u5e73:\u6240\u4ee51962-1966\u5e74\u5bf9\u4f60\u4e2a\u4eba\u6765\u8bf4\u662f\u5f88\u91cd\u8981\u7684\u4e00\u6bb5?<\/p>\n

\u59dc\u4f2f\u9a79:\u5176\u5b9e\u53ea\u67091962-1964\u5e74\u7814\u7a76\u6570\u5b66, \u540e\u6765\u4fbf\u56e0\u519c\u6751\u7684\u300c\u56db\u6e05\u8fd0\u52a8\u300d\u4e0b\u4e61\u53bb\u4e86\u3002\u4e3b\u8981\u4fbf\u662f\u4e0b\u4e61\u300c\u53d7\u953b\u70bc\u300d\u3002\u6240\u4ee5\u867d\u7136\u6587\u9769\u662f1966\u5e74\u624d\u5f00\u59cb, \u4f46\u5728\u66f4\u65e9\u4e4b\u524d\u4fbf\u5df2\u6709\u6b64\u8d70\u5411\u3002<\/p>\n

\u5218\u592a\u5e73:\u60a81957\u5e74\u6bd5\u4e1a\u81f31978\u5e74\u6587\u9769\u7ed3\u675f\u6c14\u6c1b\u56de\u590d\u6b63\u5e38, \u8fd9\u4e48\u957f\u7684\u65f6\u95f4, \u771f\u6b63\u80fd\u4e13\u5fc3\u5b66\u6570\u5b66\u3001\u7814\u7a76\u6570\u5b66\u7684\u65f6\u95f4\u4f3c\u4e4e\u4e0d\u591a?<\/p>\n

\u59dc\u4f2f\u9a79:\u786e\u5b9e, \u6211\u803d\u8bef\u4e86\u8bb8\u591a\u65f6\u95f4\u3002<\/p>\n

\u5218\u4e30\u54f2:\u60a8\u521a\u63d0\u5230\u53d1\u751f\u653f\u6cbb\u8fd0\u52a8\u540e, \u5373\u548c\u5916\u56fd\u9694\u7edd\u4e86, \u90a3\u4e48\u5982\u679c\u8981\u53d1\u8868\u7814\u7a76\u7ed3\u679c, \u662f\u53d1\u8868\u5728\u4f55\u5904\u5462?<\/p>\n

\u59dc\u4f2f\u9a79:\u5728\u5317\u4eac\u6709\u51e0\u4e2a\u6570\u5b66\u6742\u5fd7, \u6709\u6570\u5b66\u5b66\u62a5, \u5982\u300c\u4e2d\u56fd\u79d1\u5b66\u300d\u3001\u300c\u79d1\u5b66\u7eaa\u5f55\u300d\u7b49\u3002<\/p>\n

\u5218\u592a\u5e73:\u5f53\u65f6\u56e0\u4e3a\u548c\u5916\u754c\u9694\u7edd, \u529e\u6742\u5fd7\u3001\u5b66\u62a5\u7684\u6c14\u6c1b\u53cd\u800c\u597d, \u73b0\u5728\u548c\u5916\u754c\u6709\u4e86\u4ea4\u6d41, \u751f\u6001\u73af\u5883\u6539\u53d8, \u6c14\u6c1b\u53cd\u800c\u4e0d\u5982\u4ee5\u524d, \u6bd4\u65b9\u8bf4, \u6742\u5fd7\u8f83\u4e0d\u597d\u529e\u4e86?<\/p>\n

\u59dc\u4f2f\u9a79:\u4ee5\u524d\u597d\u7684\u7a3f\u4ef6\u7559\u5728\u56fd\u5185, \u73b0\u5728\u597d\u7684\u7a3f\u4ef6\u5219\u6d41\u5230\u56fd\u5916\u4e86\u3002<\/p>\n

\u5218\u592a\u5e73:\u60a8\u4f5c\u7814\u7a76, \u4e3b\u8981\u90e8\u5206\u662f\u6587\u9769\u524d\u6216\u6587\u9769\u540e?<\/p>\n

\u59dc\u4f2f\u9a79:\u6587\u9769\u540e\u3002\u56e0\u4e3a\u6587\u9769\u524d\u4ec5\u662f\u51e0\u6bb5\u65f6\u95f4\u3002<\/p>\n

\u5218\u592a\u5e73:\u6587\u9769\u7ed3\u675f\u65f6\u60a8\u51e0\u5c81?<\/p>\n

\u59dc\u4f2f\u9a79:41\u5c81\u3002<\/p>\n

\u5218\u4e30\u54f2:\u542c\u8bf4\u60a8\u5728\u6587\u9769\u671f\u95f4, \u66fe\u5230\u4e61\u4e0b\u6559\u5b66?<\/p>\n

\u59dc\u4f2f\u9a79:\u6ca1\u6709\u6559\u5b66, \u5230\u4e61\u4e0b\u53bb\u52b3\u52a8, \u5f88\u7d2f\u3002\u6bcf\u5929\u505a\u5f88\u91cd\u7684\u52b3\u52a8, \u4fbf\u662f\u50cf\u6211\u8eab\u4f53\u4e0d\u5927\u597d\u7684\u4eba, \u6bcf\u5929\u90fd\u80fd\u5403\u5f88\u591a\u996d\u3002<\/p>\n

\u5218\u592a\u5e73:\u53ef\u5426\u8c08\u8c08\u59dc\u7acb\u592b\u5148\u751f\u5728\u8fd9\u6bb5\u671f\u95f4\u7684\u60c5\u5f62?<\/p>\n

\u59dc\u4f2f\u9a79:\u4ed6\u5f53\u65f6\u7531\u53f0\u5317\u5230\u4e86\u5e7f\u5dde, \u56e0\u4e3a\u5f53\u65f6\u56fd\u6c11\u653f\u5e9c\u8fd8\u5728\u5e7f\u5dde, \u56e0\u6b64\u4ed6\u4fbf\u4efb\u804c\u4e8e\u95fd\u5357\u5927\u5b66\u6570\u5b66\u7cfb, \u540e\u6765\u5e7f\u5dde\u51e0\u6240\u5927\u5b66\u5408\u5e76\u4e3a\u4e00\u7efc\u5408\u6027\u5927\u5b66, \u5373\u4e2d\u5c71\u5927\u5b66, \u6240\u4ee5\u540e\u6765\u4ed6\u5c31\u662f\u4e2d\u5c71\u5927\u5b66\u7684\u6559\u6388\u3002\u4f46\u81f31955\u5e74, \u7236\u4eb2\u7684\u8eab\u4f53\u4e0d\u597d, \u4e0a\u8bfe\u65f6\u5fc3\u810f\u75c5\u72af, \u6240\u4ee5\u540e\u6765\u4fbf\u4e0d\u5728\u8bb2\u53f0\u4e0a\u8bfe\u4e86, \u7814\u7a76\u751f\u5230\u5bb6\u4e2d\u6307\u5bfc, \u4f46\u5f53\u65f6\u56e0\u4e3a\u6c14\u6c1b\u4e0d\u597d, \u4e5f\u6ca1\u4eba\u5728\u4f5c\u6570\u5b66\u4e86\u3002<\/p>\n

\u5218\u4e30\u54f2:\u6240\u4ee5\u60a8\u5927\u90e8\u5206\u65f6\u95f4\u662f\u548c\u7236\u4eb2\u5206\u5f00\u7684?<\/p>\n

\u59dc\u4f2f\u9a79:\u662f\u3002<\/p>\n

\u5218\u4e30\u54f2:\u6211\u5370\u8c61\u4e2d, \u59dc\u7acb\u592b\u5148\u751f\u662f\u4f5c\u4ee3\u6570\u65b9\u9762\u7684?
\n
\n\u59dc\u4f2f\u9a79:\u4ed6\u662f\u505a\u51e0\u4f55, \u6bd4\u8f83\u53e4\u5178\u4e00\u70b9\u7684\u3002<\/p>\n

\u5218\u592a\u5e73:\u53ef\u5426\u8c08\u8c08\u60a8\u7814\u7a76\u7684\u65b9\u5411?<\/p>\n

\u59dc\u4f2f\u9a79:\u6211\u4e3b\u8981\u662ftopology, \u5f00\u59cb\u7684\u65f6\u5019\u662f\u8ddf\u6c5f\u6cfd\u6db5\u5148\u751f\u4e00\u8d77\u4f5c \ufb01xed point the\u00adory\u3002 Fixed point theory \u73b0\u5728\u5927\u5bb6\u77e5\u9053\u7684\u6700\u591a\u7684\u662f Lefschetz \ufb01xed theory\u3002 \u51e0\u4e4e\u8ddf Lefschetz \u540c\u65f6, \u4e39\u9ea6\u7684 Nielson \u6709\u4ed6\u7684\u4e00\u5957 \ufb01xed point theory \u8ddf Lefschetz \u4e0d\u4e00\u6837, \u6709\u4ed6\u7684\u4e00\u4e9b\u7279\u70b9\u3002 Lefschetz number \u662f\u8ba1\u7b97\u8fd9\u4e2a algebraic number of \ufb01xed points\u3002 Nielson \u662f\u8ba1\u7b97geometric \ufb01xed points\u3002 \u4ece\u51e0\u4f55\u4e0a\u6216\u662f\u4ece\u5206\u6790\u4e0a\u90fd\u6709\u4e00\u5b9a\u7684\u5174\u8da3\u3002\u4f46\u662f\u90a3\u4e2a theory \u5f88\u5feb\u5c31\u4f1a\u78b0\u5230\u5f88\u591a\u969c\u788d, \u56e0\u4e3a Nielson number \u5f53\u65f6\u662f\u5728 surface \u4e0a\u9762\u7528 hyperbolic geometry \u4f5c\u7684, \u5f88\u96be\u63a8\u5e7f\u3002 \u540e\u6765\u5c31\u6ca1\u6709\u4ec0\u4e48\u4eba\u4f5c\u3002 \u540e\u6765\u6211\u572860\u5e74\u4ee3\u7684\u65f6\u5019, \u53d7\u6c5f\u6cfd\u6db5\u5148\u751f\u7684\u5f71\u54cd\u624d\u5f00\u59cb\u4f5c\u8fd9\u4e00\u65b9\u9762\u7684\u5de5\u4f5c\u3002\u8fd9\u4e2a\u65b9\u9762\u5c31\u662f\u4ece Nielson theory \u4f5c\u4e00\u4e9b\u8ba1\u7b97\u3002\u53ef\u662f\u4e00\u4e9b\u597d\u7684\u7406\u8bba\u5374\u6ca1\u6709\u4ec0\u4e48\u4eba\u5728\u8fd9\u65b9\u9762\u53d6\u5f97\u8fdb\u4e00\u6b65\u7684\u63a8\u5e7f\u3002\u5230\u540e\u6765\u8fd9\u65b9\u9762\u7684\u5de5\u4f5c\u53d7\u5230\u56fd\u5916\u7684\u91cd\u89c6, \u5f53\u65f6\u6b63\u5728\u6587\u5316\u5927\u9769\u547d, \u6211\u4eec\u90fd\u4e0d\u77e5\u9053\u3002\u4e00\u76f4\u523071\u5e74, \u7f8e\u56fd\u6709\u4e00\u4e2a\u4eba\u4e13\u95e8\u5199\u4e86\u4e00\u672c\u4e66, \u4e66\u7684\u540d\u5b57\u53eb Lefschetz \ufb01xed point theorem, \u5b9e\u9645\u4e0a\u91cc\u9762\u4e3b\u8981\u8bb2\u7684\u662flift\u00ading\u3002 \u7136\u540e, \u6211\u5fd8\u4e86\u662f\u90a3\u4e00\u4f4d\u5148\u751f, \u53ef\u80fd\u662f\u9648\u7701\u8eab\u5148\u751f\u4f46\u4e5f\u53ef\u80fd\u662f\u6a0a\u5148\u751f\u6211\u8bb0\u4e0d\u6e05\u695a\u662f\u5230\u5e95\u90a3\u4e00\u4f4d\u5148\u751f\u5bc4\u7ed9\u6c5f\u6cfd\u6db5\u5148\u751f\u8fd9\u672c\u4e66\u3002 \u7136\u540e\u624d\u77e5\u9053\u662f\u6211\u4eec\u81ea\u5df1\u5728\u505a\u7684\u4e1c\u897f, \u6240\u4ee5\u56fd\u5916\u7684\u4eba\u90fd\u6ce8\u610f\u8fd9\u4e2a\u4e8b\u60c5\u3002<\/p>\n

\u5218\u592a\u5e73:\u6240\u4ee5\u5f53\u65f6\u4f60\u4eec\u4f5c\u7684\u5de5\u4f5c\u5728\u4e66\u91cc\u5934\u6709\u8bb0\u5f55\u3002<\/p>\n

\u59dc\u4f2f\u9a79:\u5bf9\u3002\u5e94\u8be5\u8bf4\u4ed6\u90a3\u4e2a\u4e66\u91cc\u5934\u540e\u6765\u4e3b\u8981\u7684\u90e8\u4efd\u6709\u6211\u7684\u4e00\u4e9b\u5de5\u4f5c\u8fd8\u6709\u6bd4\u6211\u8fd8\u5e74\u8f7b\u7684\u5b66\u751f\u7684\u4e00\u4e9b\u5de5\u4f5c\u3002<\/p>\n

\u5218\u592a\u5e73:\u4f60\u4eec\u540e\u6765\u5199\u4e86\u4e00\u672c\u4e66\u3002<\/p>\n

\u59dc\u4f2f\u9a79:\u53eb Nielson \ufb01xed point the\u00adory\u30021978\u5e74\u4ee5\u540e, \u5b9e\u9645\u4e0a\u5c31\u662f78\u5e74\u7684\u5e74\u5e95\u5230\u7f8e\u56fd\u6709\u4e8c\u5e74\u7684\u65f6\u95f4\u3002\u5176\u5b9e\u6709\u4e00\u5e74\u5728Prince\u00adton\u8bbf\u95ee\u3002\u4e00\u5f00\u59cb\u5c31\u662f\u8fd9\u4e2a Nielson \ufb01xed point theory \u91cd\u65b0\u518d\u6361\u8d77\u6765, \u540c\u65f6\u5462, \u5f53\u65f6\u662flow dimensional topology \u6b63\u5728\u5f62\u6210, \u540e\u6765\u5b66\u4e86\u4e00\u4e9b\u8fd9\u65b9\u9762\u7684\u4e1c\u897f, \u53d1\u73b0\u5176\u5b9eNielson\u56e0\u4e3a\u6700\u521d\u662f\u4ecelow dimension\u4f5c\u8d77, \u4f5c\u4e0d\u52a8\u4e86\u3002\u73b0\u5728\u53cd\u8fc7\u6765\u7b49\u5230low dimen\u00adsional topology\u53d1\u5c55\u8d77\u6765\u5c31\u53d1\u73b0\u5f88\u591a\u5de5\u5177\u53ef\u4ee5\u7528\u3002\u6240\u4ee5\u540e\u6765\u6211198\u51e0\u5e74\u7684\u65f6\u5019\u4e3b\u8981\u5c31\u662f\u518d\u628a\u8fd9\u4e9b\u65b0\u7684\u65b9\u6cd5\u7528\u6765\u89e3\u51b3\u8001\u7684\u95ee\u9898\u3002\u7136\u540e\u6211\u628aNielson\u5f53\u65f6\u7684\u4e00\u4e9b\u4e3b\u8981\u7684conjec\u00adture\u5168\u90e8\u90fd\u89e3\u51b3\u3002\u5f53\u65f6\u4e3b\u8981\u662f\u8fd9\u4e48\u4e00\u6bb5\u5de5\u4f5c\u3002<\/p>\n

\u5218\u592a\u5e73:\u6240\u4ee5\u4f60\u5f53\u65f6\u5199\u90a3\u672c\u4e66\u7684\u65f6\u5019\u662f\u4f60\u89c9\u5f97\u90a3\u4e2a\ufb01eld\u5df2\u7ecf\u4f5c\u7684\u5dee\u4e0d\u591a\u4f60\u8981\u4f5c\u4e00\u4e2a\u603b\u7ed3;\u8fd8\u662f\u8bf4\u4f60\u8981\u518d\u63a8\u8fdb?<\/p>\n

\u59dc\u4f2f\u9a79:\u6211\u5199\u8fd9\u672c\u4e66\u7684\u65f6\u5019\u5176\u5b9e\u662f\u6211\u90a3\u4e9b\u95ee\u9898\u8fd8\u6ca1\u6709\u89e3\u51b3, \u5199\u8fd9\u4e2a\u4e66\u7684\u539f\u56e0\u662f\u5728Berkeley\u6216\u662f\u5728UCLA\u4ed6\u4eec\u8981\u6211\u5f00\u4e00\u4e2atopics, \u6709\u4e00\u4e9bnotes, \u6211\u6709\u4e00\u4e9b\u670b\u53cb\u8981\u6211\u5c06\u5b83\u4eec\u6574\u7406\u7ed3\u96c6\u51fa\u6765, \u6240\u4ee5\u6211\u4fbf\u5199\u4e86\u8fd9\u672c\u4e66, \u5f53\u7136\u5bf9\u6211\u4e5f\u6709\u597d\u5904, \u5c31\u662f\u6211\u53ef\u4ee5\u91cd\u65b0\u6574\u7406\u4e00\u6b21, \u4e66\u5b8c\u6210\u540e\u7684\u4e24\u4e09\u5e74\u5185, \u6240\u6709\u4e3b\u8981\u95ee\u9898\u4e5f\u89e3\u51b3\u4e86\u3002\u6240\u4ee5\u4e66\u4e2d\u5e76\u6ca1\u6709\u5305\u62ec\u89e3\u51b3\u95ee\u9898\u7684\u5185\u5bb9\u3002<\/p>\n

\u5218\u592a\u5e73:\u7f8e\u56fd\u7684\u670b\u53cb\u8981\u4f60\u5199\u4e66\u662f\u8868\u793a\u897f\u65b9\u60f3\u6e05\u695a\u4e86\u89e3\u4e2d\u56fd\u4ee5\u524d\u6570\u5b66\u7684\u7814\u7a76\u7ed3\u679c?
\n
\n\u59dc\u4f2f\u9a79:\u6211\u60f3\u662f\u5982\u6b64, \u56e0\u4e3a\u6211\u4eec\u4ee5\u524d\u7684\u7814\u7a76\u7ed3\u679c\u90fd\u662f\u4ee5\u4e2d\u6587\u53d1\u8868\u5728\u4e2d\u56fd\u6742\u5fd7\u4e0a\u3002\u57281960\u5e74\u5de6\u53f3, \u7f8e\u56fd\u7684\u6570\u5b66\u754c\u4f1a\u8bf7\u4eba\u5c06\u4e2d\u56fd\u7684\u6570\u5b66\u5b66\u62a5\u7ffb\u8bd1\u6210\u82f1\u6587, \u4f46\u56e0\u4e3a\u7ffb\u8bd1\u7684\u4eba\u5bf9\u4e2d\u6587\u7279\u70b9\u53ca\u6570\u5b66\u7684\u4e0d\u5145\u5206\u4e86\u89e3, \u6240\u4ee5\u5e38\u4f1a\u53d1\u751f\u4e2d\u56fd\u5df2\u8bc1\u660e\u7684\u5b9a\u7406, \u7f8e\u56fd\u5374\u4e0d\u77e5\u9053, \u539f\u56e0\u5728\u4e8earticle\u7ffb\u9519\u4e86\u3002\u5f88\u6709\u610f\u601d\u7684\u4e8b\u3002<\/p>\n

\u5218\u4e30\u54f2:\u90a3\u4e48\u4f60\u73b0\u5728\u8fd8\u662f\u7ee7\u7eed\u90a3\u65b9\u9762\u7684\u5de5\u4f5c?<\/p>\n

\u59dc\u4f2f\u9a79:\u540e\u6765\u6211\u4e3b\u8981\u7684\u5174\u8da3\u662f\u5728low dimension\u3002\u6700\u521d\u7684\u5b66\u4e60\u52a8\u673a\u662f\u5927\u5bb6\u90fd\u5728\u505a, \u540e\u6765\u89c9\u5f97\u548c\u6211\u4ee5\u524d\u4f5c\u7684\u4e1c\u897f\u6709\u5173, \u518d\u540e\u6765\u89e3\u51b3\u4e86\u4e00\u4e9blow dimension\u95ee\u9898\u540e, \u672c\u8eab\u5bf9\u8fd9\u65b9\u9762\u4e5f\u5f88\u6709\u5174\u8da3\u3002<\/p>\n

\u5218\u592a\u5e73:\u793e\u4f1a\u53d8\u5f97\u591a\u5143\u5316\u4e86, \u60a8\u5728\u5317\u5927\u6559\u4e66, \u5bf9\u5b66\u751f\u60f3\u6cd5\u611f\u89c9\u662f\u5426\u6709\u4e0d\u540c\u7684\u5730\u65b9?<\/p>\n

\u59dc\u4f2f\u9a79:\u9996\u5148\u7684\u4e0d\u540c\u5728\u4e8e, 50\u5e74\u524d, \u51e0\u4e4e\u662f\u6700\u597d\u7684\u5b66\u751f\u6765\u62a5\u8003\u6570\u5b66\u7cfb, \u73b0\u5728\u5219\u975e\u5982\u6b64\u3002\u5f53\u7136\u73b0\u5728\u5317\u5927\u8fd8\u662f\u53ef\u4ee5\u62db\u6536\u5230\u6570\u5b66\u4e0a\u5929\u8d4b\u5f02\u79c9\u7684\u5b66\u751f, \u56e0\u4e3a\u6570\u5b66\u7ade\u8d5b\u7684\u4f18\u80dc\u8005\u53ef\u4ee5\u4fdd\u9001, \u8fd9\u6279\u4eba\u8fd8\u662f\u6709\u4eba\u9009\u62e9\u6570\u5b66\u7cfb\u7684\u3002\u4f46\u662f\u56e0\u4e3a\u73b0\u5728\u5bf9\u5b66\u751f\u6709\u5438\u5f15\u529b\u7684\u4e1c\u897f\u592a\u591a\u4e86, \u6bd4\u65b9\u4fe1\u606f\u3001\u751f\u7269\u3001\u91d1\u878d\u65b9\u9762, \u6240\u4ee5\u597d\u7684\u5b66\u751f\u4f1a\u88ab\u5206\u6563\u3002<\/p>\n

\u5218\u4e30\u54f2:\u73b0\u5728\u7684\u8bfe\u7a0b\u5b89\u6392\u548c1950\u5e74\u65f6\u5b8c\u5168\u4e0d\u540c\u5417?<\/p>\n

\u59dc\u4f2f\u9a79:\u4f46\u4e5f\u8fd8\u662f\u53d7\u90a3\u65f6\u5019\u7684\u5f71\u54cd\u3002\u73b0\u5728\u5927\u4e00\u751f\u8fd8\u662f\u7531\u9ad8\u5fae\u5ff5\u8d77, \u4f46\u73b0\u5728\u4e5f\u6709\u4e9b\u4e89\u8bba, \u8981\u9002\u5e94\u5b66\u751f\u7684\u60c5\u51b5, \u662f\u5426\u7b2c\u4e00\u5b66\u671f\u4e0d\u8981\u8981\u6c42\u592a\u4e25\u683c, \u8fd9\u662f\u6211\u4eec\u6b63\u5728\u8ba8\u8bba\u7684\u95ee\u9898\u3002<\/p>\n

\u5218\u592a\u5e73:\u6574\u4f53\u6765\u8bf4, \u5317\u5927\u6570\u5b66\u7cfb\u5bf9\u5b66\u751f\u7684\u8981\u6c42\u548c\u5b66\u4e60\u73af\u5883\u6c14\u6c1b\u548c\u4ee5\u5f80\u6ca1\u6709\u592a\u5927\u5dee\u522b?<\/p>\n

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\u5218\u4e30\u54f2:\u60a8\u6240\u7814\u7a76\u7684topology, \u662f\u5426\u5b58\u5728\u4eba\u624d\u540e\u7ee7\u7684\u95ee\u9898?<\/p>\n

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\u6709\u670b\u81ea\u9060\u65b9\u4f86\u4e00\u4e00\u5c08\u8a2a\u59dc\u4f2f\u99d2\u6559\u6388   \u7b56\u753b :\u5218\u592a\u5e73 \u8bbf\u8c08 :\u5218\u592a\u5e73\u3001\u5218 …<\/p>\n

\u6709\u670b\u81ea\u8fdc\u65b9\u6765\u4e00\u4e00\u4e13\u8bbf\u59dc\u4f2f\u9a79\u6559\u6388<\/span> \u9605\u8bfb\u66f4\u591a »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[136,90],"class_list":["post-1699","post","type-post","status-publish","format-standard","hentry","category-net","tag-136","tag-90"],"_links":{"self":[{"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1699","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1699"}],"version-history":[{"count":0,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/1699\/revisions"}],"wp:attachment":[{"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1699"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1699"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1699"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}