https://topospaces.subwiki.org/w/index.php?action=history&feed=atom&title=Connecting_homomorphism 2026-04-10T06:13:39Z Revision history for this page on the wiki MediaWiki 1.41.2 https://topospaces.subwiki.org/w/index.php?title=Connecting_homomorphism&diff=3386&oldid=prev 2011-01-09T22:15:52Z

<p>Created page with &#039;==Definition== The term &#039;&#039;&#039;connecting homomorphism&#039;&#039;&#039; is used generally for a homomorphism from a &lt;math&gt;n^{th}&lt;/math&gt; <a href="/wiki/Homology_group" class="mw-redirect" title="Homology group">homology group</a> (respectively, <a href="/wiki/Homotopy_group" title="Homotopy group">homotopy group</a>) to a ...&#039;</p> <p><b>New page</b></p><div>==Definition==<br /> <br /> The term &#039;&#039;&#039;connecting homomorphism&#039;&#039;&#039; is used generally for a homomorphism from a &lt;math&gt;n^{th}&lt;/math&gt; [[homology group]] (respectively, [[homotopy group]]) to a &lt;math&gt;(n-1)^{th}&lt;/math&gt; [[homology group]] (respectively, [[homotopy group]]) occurring typically inside a long exact sequence.<br /> <br /> Mathematically, it is used for the homomorphism arising as a consequence/conclusion of the [[snake lemma]].</div>

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