Proper sub-APS

From Apstheory

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-	A sub-APS <math>H</math> of an APS <math>G</math> is termed '''proper''' if there is an index <math>n</math> for which <math>H_n</math> is a proper subset of <math>G_n</math>.	+	{{wikilocal}}
-	==See also==	+	{{set-theoretic sub-APS property}}
-	* [[Strongly proper sub-APS]]	+
-	* [[Nontrivial sub-APS]]	+
-	[[Category: Terminology local to the wiki]]	+	A sub-APS <math>H</math> of an APS <math>G</math> is termed '''proper''' if there is an index <math>n</math> for which <math>H_n</math> is a proper subset of <math>G_n</math>.
-	[[Category: Set-theoretic sub-APS properties]]	+
-	[[Category: sub-APS properties]]	+

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Current revision as of 23:19, 25 January 2007

This article defines terminology that is local to the wiki. For its use outside the wiki, please give full definitions

This article describes a property that can be evaluated for a sub-APS of an APS and uses only set-theoretical properties

A sub-APS Failed to parse (Can't write to or create math temp directory): H

of an APS Failed to parse (Can't write to or create math temp directory): G
is termed proper if there is an index Failed to parse (Can't write to or create math temp directory): n
for which Failed to parse (Can't write to or create math temp directory): H_n
is a proper subset of Failed to parse (Can't write to or create math temp directory): G_n

.