{"id":945,"date":"2018-02-20T11:18:58","date_gmt":"2018-02-20T11:18:58","guid":{"rendered":"http:\/\/answerwall.domain.bc.edu\/?p=945"},"modified":"2018-02-20T19:31:08","modified_gmt":"2018-02-20T19:31:08","slug":"is-every-simply-connected-close-3-manifold-homeomorphic-to-the-3-sphere-if-yes-please-provide-proof","status":"publish","type":"post","link":"https:\/\/library.bc.edu\/answerwall\/2018\/02\/20\/is-every-simply-connected-close-3-manifold-homeomorphic-to-the-3-sphere-if-yes-please-provide-proof\/","title":{"rendered":"Is every simply connected, close 3- manifold homeomorphic to the 3-sphere? If yes, please provide proof."},"content":{"rendered":"<figure id=\"attachment_939\" aria-describedby=\"caption-attachment-939\" style=\"width: 300px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/library.bc.edu\/answerwall\/wp-content\/uploads\/2018\/02\/AW02202018-3.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-939\" src=\"http:\/\/library.bc.edu\/answerwall\/wp-content\/uploads\/2018\/02\/AW02202018-3-300x284.jpg\" alt=\"Is every simply connected, close 3- manifold liomeomorphic to the 3-sphere? If yes, please provide proof.\" width=\"300\" height=\"284\" \/><\/a><figcaption id=\"caption-attachment-939\" class=\"wp-caption-text\">Is every simply connected, close 3- manifold homeomorphic to the 3-sphere? If yes, please provide proof.<\/figcaption><\/figure>\n<p>Yes. Poincar\u00e9&#8217;s conjecture (formerly a Clay Mathematics Institute Millennium Prize Problem) was proved by Grigori Perelman using Richard Hamilton&#8217;s Ricci flow program and confirmed in 2006 following review (<a href=\"http:\/\/bit.ly\/CMIperelsol\">bit.ly\/CMIperelsol<\/a>). Read the complete proof in the Asian Journal of Mathematics (<a href=\"http:\/\/bit.ly\/poincareproof\">bit.ly\/poincareproof<\/a>).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Yes. Poincar\u00e9&#8217;s conjecture (formerly a Clay Mathematics Institute Millennium Prize Problem) was proved by Grigori Perelman using Richard Hamilton&#8217;s Ricci flow program and confirmed in 2006 following review (bit.ly\/CMIperelsol). Read the complete proof in the Asian Journal of Mathematics (bit.ly\/poincareproof).<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13,22],"tags":[99],"class_list":["post-945","post","type-post","status-publish","format-standard","hentry","category-big-questions","category-riddles","tag-mathematics"],"_links":{"self":[{"href":"https:\/\/library.bc.edu\/answerwall\/wp-json\/wp\/v2\/posts\/945","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/library.bc.edu\/answerwall\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/library.bc.edu\/answerwall\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/library.bc.edu\/answerwall\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/library.bc.edu\/answerwall\/wp-json\/wp\/v2\/comments?post=945"}],"version-history":[{"count":4,"href":"https:\/\/library.bc.edu\/answerwall\/wp-json\/wp\/v2\/posts\/945\/revisions"}],"predecessor-version":[{"id":977,"href":"https:\/\/library.bc.edu\/answerwall\/wp-json\/wp\/v2\/posts\/945\/revisions\/977"}],"wp:attachment":[{"href":"https:\/\/library.bc.edu\/answerwall\/wp-json\/wp\/v2\/media?parent=945"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/library.bc.edu\/answerwall\/wp-json\/wp\/v2\/categories?post=945"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/library.bc.edu\/answerwall\/wp-json\/wp\/v2\/tags?post=945"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}