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	<title>Local homeomorphism implies open map - Revision history</title>
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	<updated>2026-05-22T11:16:47Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://topospaces.subwiki.org/w/index.php?title=Local_homeomorphism_implies_open_map&amp;diff=3246&amp;oldid=prev</id>
		<title>Vipul: Created page with &#039;==Statement==  Suppose &lt;math&gt;A&lt;/math&gt; and &lt;math&gt;B&lt;/math&gt; are topological spaces. Suppose &lt;math&gt;f:A \to B&lt;/math&gt; is a continuous map. Then, if &lt;math&gt;f&lt;/math&gt; is a [[fact a...&#039;</title>
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		<updated>2010-12-25T02:35:12Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;#039;==Statement==  Suppose &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B&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;. Suppose &amp;lt;math&amp;gt;f:A \to B&amp;lt;/math&amp;gt; is a &lt;a href=&quot;/wiki/Continuous_map&quot; title=&quot;Continuous map&quot;&gt;continuous map&lt;/a&gt;. Then, if &amp;lt;math&amp;gt;f&amp;lt;/math&amp;gt; is a [[fact a...&amp;#039;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;==Statement==&lt;br /&gt;
&lt;br /&gt;
Suppose &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt; are [[topological space]]s. Suppose &amp;lt;math&amp;gt;f:A \to B&amp;lt;/math&amp;gt; is a [[continuous map]]. Then, if &amp;lt;math&amp;gt;f&amp;lt;/math&amp;gt; is a [[fact about::local homeomorphism]][[uses property satisfaction of::local homeomorphism| ]], &amp;lt;math&amp;gt;f&amp;lt;/math&amp;gt; is also an [[fact about::open map]].&lt;/div&gt;</summary>
		<author><name>Vipul</name></author>
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