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	<id>https://topospaces.subwiki.org/w/index.php?action=history&amp;feed=atom&amp;title=Homotopic_maps</id>
	<title>Homotopic maps - Revision history</title>
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	<updated>2026-05-09T11:24:01Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://topospaces.subwiki.org/w/index.php?title=Homotopic_maps&amp;diff=3203&amp;oldid=prev</id>
		<title>Vipul: Created page with &#039;==Definition==  Suppose &lt;math&gt;X&lt;/math&gt; and &lt;math&gt;Y&lt;/math&gt; are topological spaces and &lt;math&gt;f,g:X \to Y&lt;/math&gt; are continuous maps. We say that &lt;math&gt;f&lt;/math&gt; and &lt;math&gt;g&lt;...&#039;</title>
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		<updated>2010-12-21T01:05:03Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;#039;==Definition==  Suppose &amp;lt;math&amp;gt;X&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;Y&amp;lt;/math&amp;gt; are &lt;a href=&quot;/wiki/Topological_space&quot; title=&quot;Topological space&quot;&gt;topological spaces&lt;/a&gt; and &amp;lt;math&amp;gt;f,g:X \to Y&amp;lt;/math&amp;gt; are &lt;a href=&quot;/wiki/Continuous_map&quot; title=&quot;Continuous map&quot;&gt;continuous maps&lt;/a&gt;. We say that &amp;lt;math&amp;gt;f&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;g&amp;lt;...&amp;#039;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;==Definition==&lt;br /&gt;
&lt;br /&gt;
Suppose &amp;lt;math&amp;gt;X&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;Y&amp;lt;/math&amp;gt; are [[topological space]]s and &amp;lt;math&amp;gt;f,g:X \to Y&amp;lt;/math&amp;gt; are [[continuous map]]s. We say that &amp;lt;math&amp;gt;f&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;g&amp;lt;/math&amp;gt; are &amp;#039;&amp;#039;&amp;#039;homotopic maps&amp;#039;&amp;#039;&amp;#039; or &amp;#039;&amp;#039;&amp;#039;homotopy-equivalent maps&amp;#039;&amp;#039;&amp;#039; (sometimes denoted &amp;lt;math&amp;gt;f \simeq g&amp;lt;/math&amp;gt; in symbols) if there is a [[defining ingredient::homotopy]] between &amp;lt;math&amp;gt;f&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;g&amp;lt;/math&amp;gt;.&lt;/div&gt;</summary>
		<author><name>Vipul</name></author>
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