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p-pseudocompact をテンプレートにして作成
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開始行:
*Definition [#l129f7bd]
p is a free ultrafilter on ω, the set of natural numbers.
A space is called p-pseudocompact iff every sequence of nonempty open sets has a p-limit point.
*Property [#eb6343f7]
-If a space X is p-pseudocompact for some p, it is [[pseudocompact]].
*Remark [#t9faa874]
-For the definition of p-limit, see [[p-compact]].
-For a subspace Y in X, if every sequence of nonempty open subsets in X which meet Y has a p-limit point, it is called p-bounded in X.
*Reference [#y6cf1e76]
Manuel Sanchis and Angel Tamariz-Mascarua, ''p-pseudocompactness and related topics in topological spaces'', Topology and its Applications 98 (1999) 323-343.
終了行:
*Definition [#l129f7bd]
p is a free ultrafilter on ω, the set of natural numbers.
A space is called p-pseudocompact iff every sequence of nonempty open sets has a p-limit point.
*Property [#eb6343f7]
-If a space X is p-pseudocompact for some p, it is [[pseudocompact]].
*Remark [#t9faa874]
-For the definition of p-limit, see [[p-compact]].
-For a subspace Y in X, if every sequence of nonempty open subsets in X which meet Y has a p-limit point, it is called p-bounded in X.
*Reference [#y6cf1e76]
Manuel Sanchis and Angel Tamariz-Mascarua, ''p-pseudocompactness and related topics in topological spaces'', Topology and its Applications 98 (1999) 323-343.
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