{"id":823,"date":"2021-05-03T21:17:19","date_gmt":"2021-05-03T13:17:19","guid":{"rendered":"https:\/\/www.caiqinyi.cn\/?p=823"},"modified":"2025-02-26T11:27:49","modified_gmt":"2025-02-26T03:27:49","slug":"open_connected_subspace_e2_path_connected","status":"publish","type":"post","link":"https:\/\/www.caiqinyi.cn\/index.php\/2021\/05\/03\/open_connected_subspace_e2_path_connected\/","title":{"rendered":"\u8bc1\u660eE^2\u7684\u8fde\u901a\u5f00\u5b50\u96c6\u4e00\u5b9a\u9053\u8def\u8fde\u901a"},"content":{"rendered":"<p><script type=\"text\/javascript\" async src=\"https:\/\/www.caiqinyi.cn\/wp-content\/MathJax\/MathJax.js?config=TeX-AMS_CHTML\">\n<\/script><br \/>\n<script type=\"text\/x-mathjax-config\">\n    MathJax.Hub.Config({\n        tex2jax: {inlineMath: [['$','$']]},\n        TeX: {equationNumbers: {autoNumber: [\"AMS\"], useLabelIds: true}},\n        \"HTML-CSS\": {linebreaks: {automatic: true}},\n        SVG: {linebreaks: {automatic: true}}\n    });\n<\/script><\/p>\n<p>\u8bc1\u660e\u662f\u5f00\u96c6\u7684\u90a3\u6bb5\u8bba\u8ff0\u633a\u7cbe\u5f69\u7684~<\/p>\n<p><!--more--><\/p>\n<p><strong>\u53c2\u8003\u6750\u6599<\/strong><br \/>\n1. https:\/\/math.stackexchange.com\/questions\/2416737\/if-u-is-open-connected-subspace-of-mathbbr2-then-u-is-path-connected<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2021\/05\/\u5fae\u4fe1\u622a\u56fe_20210503211448.png\" alt=\"\" width=\"894\" height=\"735\" class=\"alignnone size-full wp-image-825\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2021\/05\/\u5fae\u4fe1\u622a\u56fe_20210503211448.png 894w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2021\/05\/\u5fae\u4fe1\u622a\u56fe_20210503211448-300x247.png 300w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2021\/05\/\u5fae\u4fe1\u622a\u56fe_20210503211448-768x631.png 768w\" sizes=\"(max-width: 894px) 100vw, 894px\" \/><\/p>\n<p>\u4f46\u95ee\u9898\u63cf\u8ff0\u91cc\u7528$R^2$\u611f\u89c9\u4e0d\u662f\u5f88\u4e25\u8c28, \u56e0\u4e3a\u662f\u5728\u62d3\u6251\u7a7a\u95f4\u91cc\u8ba8\u8bba\u8fd9\u4e2a\u95ee\u9898, \u8fd8\u662f\u7528$E^2$\u597d\u4e9b~<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8bc1\u660e\u662f\u5f00\u96c6\u7684\u90a3\u6bb5\u8bba\u8ff0\u633a\u7cbe\u5f69\u7684~<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15],"tags":[],"_links":{"self":[{"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts\/823"}],"collection":[{"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/comments?post=823"}],"version-history":[{"count":5,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts\/823\/revisions"}],"predecessor-version":[{"id":3635,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts\/823\/revisions\/3635"}],"wp:attachment":[{"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/media?parent=823"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/categories?post=823"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/tags?post=823"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}