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	<title>Dyck&#039;s surface - Revision history</title>
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	<updated>2026-07-13T07:47:01Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://topospaces.subwiki.org/w/index.php?title=Dyck%27s_surface&amp;diff=3911&amp;oldid=prev</id>
		<title>Vipul: Created page with &quot;{{particular topospace}}    ==Definition==  &#039;&#039;&#039;Dyck&#039;s surface&#039;&#039;&#039; is a compact non-orientable surface (see classification of compact non-orientable surfaces) ...&quot;</title>
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		<updated>2011-07-29T18:39:30Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{particular topospace}} &lt;a href=&quot;/w/index.php?title=Dimension::3&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Dimension::3 (page does not exist)&quot;&gt; &lt;/a&gt;  ==Definition==  &amp;#039;&amp;#039;&amp;#039;Dyck&amp;#039;s surface&amp;#039;&amp;#039;&amp;#039; is a compact non-orientable surface (see &lt;a href=&quot;/wiki/Classification_of_compact_non-orientable_surfaces&quot; class=&quot;mw-redirect&quot; title=&quot;Classification of compact non-orientable surfaces&quot;&gt;classification of compact non-orientable surfaces&lt;/a&gt;) ...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{particular topospace}}&lt;br /&gt;
[[dimension::3| ]]&lt;br /&gt;
&lt;br /&gt;
==Definition==&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Dyck&amp;#039;s surface&amp;#039;&amp;#039;&amp;#039; is a compact non-orientable surface (see [[classification of compact non-orientable surfaces]]) defined in the following equivalent ways:&lt;br /&gt;
&lt;br /&gt;
# It is the [[defining ingredient::connected sum]] of three copies of the [[defining ingredient::real projective plane]].&lt;br /&gt;
# It is the connected sum of the real projective plane and the [[defining ingredient::Klein bottle]] (which itself is a connected sum of two real projective planes).&lt;br /&gt;
# It is the connected sum of the real projective plane and the [[2-torus]].&lt;/div&gt;</summary>
		<author><name>Vipul</name></author>
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