{"id":200,"date":"2025-03-03T11:15:47","date_gmt":"2025-03-03T10:15:47","guid":{"rendered":"http:\/\/blog.mathyuan.com\/?p=200"},"modified":"2025-03-28T18:41:27","modified_gmt":"2025-03-28T17:41:27","slug":"%e6%95%b0%e5%ad%a6%e4%b8%93%e6%a0%8f%e5%92%8c%e7%81%b5%e6%84%9f","status":"publish","type":"post","link":"https:\/\/blog.mathyuan.com\/?p=200","title":{"rendered":"\u6570\u5b66\u4e13\u680f\u548c\u7075\u611f"},"content":{"rendered":"\n<p>\u6211\u76ee\u524d\u6253\u7b97\u5728<a href=\"https:\/\/www.zhihu.com\/people\/Godxy\/columns\" data-type=\"link\" data-id=\"https:\/\/www.zhihu.com\/people\/Godxy\/columns\">\u6211\u7684\u77e5\u4e4e\u4e3b\u9875<\/a>\u4e0a\u64b0\u5199\u4e00\u4e9b\u4e13\u680f\u7b14\u8bb0, \u5185\u5bb9\u662f\u6211\u76ee\u524d\u611f\u5174\u8da3\u7684\u4e00\u4e9b\u9886\u57df\u7684\u57fa\u7840\u77e5\u8bc6 (\u53ef\u80fd\u56e0\u4e3a\u65f6\u95f4\u5b89\u6392\u95ee\u9898<s>\u61d2\u60f0<\/s>\u7ecf\u5e38\u4e0d\u66f4\u65b0). \u60f3\u8981\u627e\u5230\u9002\u5408\u5199\u7684\u8bdd\u9898\u603b\u662f\u4e0d\u90a3\u4e48\u5bb9\u6613, \u6709\u65f6\u7075\u5149\u4e00\u95ea\u800c\u8fc7, \u8fc7\u9635\u5b50\u53c8\u5fd8\u8bb0\u4e86, \u7b49\u5230\u8981\u5199\u7684\u65f6\u5019\u53c8\u5fd8\u4e86\u8981\u5199\u4ec0\u4e48. \u8fd9\u91cc\u8bb0\u5f55\u4e00\u4e9b\u53ef\u80fd\u6253\u7b97\u5199\u7684\u5185\u5bb9.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><a href=\"https:\/\/zhuanlan.zhihu.com\/column\/c_1873805393966292992\" data-type=\"link\" data-id=\"https:\/\/zhuanlan.zhihu.com\/column\/c_1873805393966292992\">\u4ee3\u6570\u51e0\u4f55\u8bba\u4e1b<\/a><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4ea4\u6362\u4ee3\u6570: \u4e58\u79ef\u7c07\u4e0a\u7684Zariski topology\u548cproduct topology;<\/li>\n\n\n\n<li>\u4ea4\u6362\u4ee3\u6570: Noether\u6b63\u89c4\u5316\u5b9a\u7406;<\/li>\n\n\n\n<li><a href=\"https:\/\/zhuanlan.zhihu.com\/p\/30623164709\" data-type=\"link\" data-id=\"https:\/\/zhuanlan.zhihu.com\/p\/30623164709\">\u4eff\u5c04\u7c07: \u6b63\u5219\u51fd\u6570<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/zhuanlan.zhihu.com\/p\/1888816992812786979\" data-type=\"link\" data-id=\"https:\/\/zhuanlan.zhihu.com\/p\/1888816992812786979\">\u9884\u7c07: \u524d\u8fdb\u4e00\u5c0f\u6b65<\/a><\/li>\n\n\n\n<li>\u7ef4\u6570\u7406\u8bba: Krull\u4e3b\u7406\u60f3\u5b9a\u7406\u548cKrull\u9ad8\u5ea6\u5b9a\u7406;<\/li>\n\n\n\n<li>\u4ea4\u6362\u4ee3\u6570: Jacobian\u6839\u548cNakayama\u5f15\u7406; <\/li>\n\n\n\n<li>\u8303\u7574\u8bba: adjunt functor\u7684\u6cdb\u6027\u8d28;<\/li>\n\n\n\n<li>\u8303\u7574\u8bba: projective limit \/ injective limit\u7684\u6cdb\u6027\u8d28, \u4ee5\u53ca &#8220;\u53ef\u4ee5\u89c6\u4f5climit\/colimit\u7684\u5b9a\u4e49&#8221;;<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\"><a href=\"https:\/\/www.zhihu.com\/column\/c_1874334249353617408\" data-type=\"link\" data-id=\"https:\/\/www.zhihu.com\/column\/c_1874334249353617408\">\u793a\u4e07\u7c7b\u6027<\/a><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/zhuanlan.zhihu.com\/p\/27746927227\" data-type=\"link\" data-id=\"https:\/\/zhuanlan.zhihu.com\/p\/27746927227\">\u8c31\u5e8f\u5217: Leray-Serre\u8c31\u5e8f\u5217\u5b9a\u7406<\/a>;<\/li>\n\n\n\n<li><a href=\"https:\/\/zhuanlan.zhihu.com\/p\/28000113314\">\u8c31\u5e8f\u5217: \u8ba1\u7b97BU(n)\u7684\u4e0a\u540c\u8c03\u73af<\/a>;<\/li>\n\n\n\n<li>\u793a\u6027\u7c7b\u7684\u79ef\u5206\u95ee\u9898;<\/li>\n\n\n\n<li>\u8ba1\u6570\u51e0\u4f55: \u8d85\u66f2\u9762\u548c\u76f4\u7ebf\u76f8\u4ea4\u95ee\u9898;<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\"><a href=\"https:\/\/www.zhihu.com\/column\/c_1879956108686378667\" data-type=\"link\" data-id=\"https:\/\/www.zhihu.com\/column\/c_1879956108686378667\">\u62d3\u6251\u5c0f\u6587<\/a><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5fae\u5206\u62d3\u6251: Whitney\u5d4c\u5165\u5b9a\u7406\u7684\u8bc1\u660e;<\/li>\n\n\n\n<li>\u5fae\u5206\u62d3\u6251: Morse\u7406\u8bba\u5c0f\u8bb0<\/li>\n<\/ul>\n\n\n\n \n","protected":false},"excerpt":{"rendered":"<p>\u77e5\u4e4e\u7b14\u8bb0\u6c47\u603b <a class=\"more-link\" href=\"https:\/\/blog.mathyuan.com\/?p=200\">\u7ee7\u7eed\u9605\u8bfb <span class=\"screen-reader-text\">  \u6570\u5b66\u4e13\u680f\u548c\u7075\u611f<\/span><span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":true,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[8],"class_list":["post-200","post","type-post","status-publish","format-standard","hentry","category-thoughts","tag-8"],"_links":{"self":[{"href":"https:\/\/blog.mathyuan.com\/index.php?rest_route=\/wp\/v2\/posts\/200","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.mathyuan.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.mathyuan.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.mathyuan.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.mathyuan.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=200"}],"version-history":[{"count":16,"href":"https:\/\/blog.mathyuan.com\/index.php?rest_route=\/wp\/v2\/posts\/200\/revisions"}],"predecessor-version":[{"id":278,"href":"https:\/\/blog.mathyuan.com\/index.php?rest_route=\/wp\/v2\/posts\/200\/revisions\/278"}],"wp:attachment":[{"href":"https:\/\/blog.mathyuan.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=200"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.mathyuan.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=200"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.mathyuan.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=200"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}