https://topospaces.subwiki.org/w/index.php?action=history&feed=atom&title=Simply_connected_not_implies_contractible 2026-06-15T08:55:20Z Revision history for this page on the wiki MediaWiki 1.41.2 https://topospaces.subwiki.org/w/index.php?title=Simply_connected_not_implies_contractible&diff=3011&oldid=prev 2009-12-25T07:38:05Z

<p><span dir="auto"><span class="autocomment">Statement</span></span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 07:38, 25 December 2009</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l5">Line 5:</td> <td colspan="2" class="diff-lineno">Line 5:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Statement==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Statement==</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>It is possible for a [[topological space]] to be a [[simply connected space]] but not a [[<del style="font-weight: bold; text-decoration: none;">contractble </del>space]].</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>It is possible for a [[topological space]] to be a [[simply connected space]] but not a [[<ins style="font-weight: bold; text-decoration: none;">contractible </ins>space]].</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Related facts==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Related facts==</div></td></tr> </table>

Vipul https://topospaces.subwiki.org/w/index.php?title=Simply_connected_not_implies_contractible&diff=3010&oldid=prev 2009-12-25T07:37:40Z

<p>Created page with &#039;{{topospace property non-implication| stronger = simply connected space| weaker = contractible space}} ==Statement== It is possible for a <a href="/wiki/Topological_space" title="Topological space">topological space</a> to be a [[simply…&#039;</p> <p><b>New page</b></p><div>{{topospace property non-implication|<br /> stronger = simply connected space|<br /> weaker = contractible space}}<br /> <br /> ==Statement==<br /> <br /> It is possible for a [[topological space]] to be a [[simply connected space]] but not a [[contractble space]].<br /> <br /> ==Related facts==<br /> <br /> * [[Simply connected not implies weakly contractible]]<br /> * [[Weakly contractible not implies contractible]]<br /> <br /> <br /> ==Proof==<br /> <br /> ===Example of spheres===<br /> <br /> All the spheres &lt;math&gt;S^n, n \ge 2&lt;/math&gt;, are [[simply connected space]]s that are not [[contractible space]]s.</div>

Vipul