http://wiki.karljones.com/index.php?action=history&feed=atom&title=Morphism 2026-10-23T22:22:55Z Revision history for this page on the wiki MediaWiki 1.24.2 http://wiki.karljones.com/index.php?title=Morphism&diff=18401&oldid=prev 2016-09-16T12:13:11Z

<p></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 12:13, 16 September 2016</td> </tr><tr><td colspan="2" class="diff-lineno">Line 15:</td> <td colspan="2" class="diff-lineno">Line 15:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Category theory]]</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Category theory]]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Isomorphism]]</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Isomorphism]]</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; 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><ins style="font-weight: bold; text-decoration: none;">* [[Linear map]]</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Map (mathematics)]]</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Map (mathematics)]]</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; 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><ins style="font-weight: bold; text-decoration: none;">* [[Mathematical object]]</ins></div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Mathematical structure]]</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Mathematical structure]]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Normal morphism]]</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Normal morphism]]</div></td></tr> </table>

Karl Jones http://wiki.karljones.com/index.php?title=Morphism&diff=18400&oldid=prev 2016-09-16T12:01:19Z

<p>Created page with &quot;In many fields of <a href="/index.php/Mathematics" title="Mathematics">mathematics</a>, &#039;&#039;&#039;morphism&#039;&#039;&#039; refers to a structure-preserving <a href="/index.php?title=Map_(mathemtics)&amp;action=edit&amp;redlink=1" class="new" title="Map (mathemtics) (page does not exist)">map</a> from one <a href="/index.php/Mathematical_structure" title="Mathematical structure">mathematical structure</a> to another. == Description ==...&quot;</p> <p><b>New page</b></p><div>In many fields of [[mathematics]], '''morphism''' refers to a structure-preserving [[Map (mathemtics)|map]] from one [[mathematical structure]] to another.<br /> <br /> == Description ==<br /> <br /> The notion of morphism recurs in much of contemporary mathematics. In [[set theory]], morphisms are [[Function (mathematics)|functions]]; in [[linear algebra]], [[Linear map|linear transformations]]; in [[group theory]], [[Group homomorphism|group homomorphisms]]; in [[topology]], [[Continuous function|continuous functions]], and so on.<br /> <br /> In [[category theory]], morphism is a broadly similar idea, but somewhat more abstract: the [[Mathematical object|mathematical objects]] involved need not be sets, and the relationship between them may be something more general than a map.<br /> <br /> The study of morphisms and of the structures (called &quot;objects&quot;) over which they are defined is central to category theory. Much of the terminology of morphisms, as well as the intuition underlying them, comes from concrete categories, where the objects are simply sets with some additional structure, and morphisms are structure-preserving functions. In category theory, morphisms are sometimes also called arrows.<br /> <br /> == See also ==<br /> <br /> * [[Automorphism]]<br /> * [[Category (mathematics)]]<br /> * [[Category theory]]<br /> * [[Isomorphism]]<br /> * [[Map (mathematics)]]<br /> * [[Mathematical structure]]<br /> * [[Normal morphism]]<br /> * [[Zero morphism]]<br /> <br /> == External links ==<br /> <br /> * [https://en.wikipedia.org/wiki/Morphism Morphism] @ Wikipedia.org <br /> <br /> <br /> [[Category:Mathematics]]</div>

Karl Jones