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	<title>SI-space - Revision history</title>
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	<updated>2026-09-02T01:39:38Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://topospaces.subwiki.org/w/index.php?title=SI-space&amp;diff=4248&amp;oldid=prev</id>
		<title>Vipul: Created page with &quot;==Definition==  An &#039;&#039;&#039;SI-space&#039;&#039;&#039; is a topological space that is both a defining ingredient::dense-in-itself space and a [[defining ingredient::hereditarily irresolvab...&quot;</title>
		<link rel="alternate" type="text/html" href="https://topospaces.subwiki.org/w/index.php?title=SI-space&amp;diff=4248&amp;oldid=prev"/>
		<updated>2012-01-27T02:06:15Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;==Definition==  An &amp;#039;&amp;#039;&amp;#039;SI-space&amp;#039;&amp;#039;&amp;#039; is a &lt;a href=&quot;/wiki/Topological_space&quot; title=&quot;Topological space&quot;&gt;topological space&lt;/a&gt; that is both a &lt;a href=&quot;/w/index.php?title=Defining_ingredient::dense-in-itself_space&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Defining ingredient::dense-in-itself space (page does not exist)&quot;&gt;defining ingredient::dense-in-itself space&lt;/a&gt; and a [[defining ingredient::hereditarily irresolvab...&amp;quot;&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;
An &amp;#039;&amp;#039;&amp;#039;SI-space&amp;#039;&amp;#039;&amp;#039; is a [[topological space]] that is both a [[defining ingredient::dense-in-itself space]] and a [[defining ingredient::hereditarily irresolvable space]]. Note that the properties of being dense-in-itself and hereditarily irresolvable are somewhat opposed, because [[resolvable implies dense-in-itself]].&lt;br /&gt;
&lt;br /&gt;
{{topospace property}}&lt;br /&gt;
{{topospace property conjunction|dense-in-itself space|hereditarily irresolvable space}}&lt;/div&gt;</summary>
		<author><name>Vipul</name></author>
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