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Encyclopedia of Compactness Wiki*
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countably almost-compact
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countably almost-compact をテンプレートにして作成
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開始行:
*Definition [#c5c1e3ce]
Let E be a family of open sets and let F denote the family of the closures of all elements in E. A topological space is called almost compact if F has a nonempty intersection whenever E has [[cip]].
*Property [#a06e4072]
-If X is countably almost-compact and [[almost realcompact]] then X is [[almost-compact]].
*Remark [#l1698328]
-It is called H-closed in the terminology of M. Kateiov.
*Reference [#kdd4dbb3]
Zdenek Frolik, ''A generalization of realcompact spaces'', Czechoslovak Mathematical Journal, Vol.13 (1963), No.1, 127-138.
終了行:
*Definition [#c5c1e3ce]
Let E be a family of open sets and let F denote the family of the closures of all elements in E. A topological space is called almost compact if F has a nonempty intersection whenever E has [[cip]].
*Property [#a06e4072]
-If X is countably almost-compact and [[almost realcompact]] then X is [[almost-compact]].
*Remark [#l1698328]
-It is called H-closed in the terminology of M. Kateiov.
*Reference [#kdd4dbb3]
Zdenek Frolik, ''A generalization of realcompact spaces'', Czechoslovak Mathematical Journal, Vol.13 (1963), No.1, 127-138.
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