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Encyclopedia of Compactness Wiki*
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submesocompact をテンプレートにして作成
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開始行:
*Definition [#peea3a7d]
A topological space X is called submesocompact if for every open cover U of X, there exists a sequence U_n of open covers of X which satisfies:
+every U_n refines U;
+for every nonempty compact set K in X, there exists some n such that finitely many member of U_n meets K.
*Reference [#ma6069c7]
Shou Lin, ''Mapping theorems on k-semistratifiable spaces'', Tsukuba J. Math. Vol.21 No.3 (1997), 809-815.
終了行:
*Definition [#peea3a7d]
A topological space X is called submesocompact if for every open cover U of X, there exists a sequence U_n of open covers of X which satisfies:
+every U_n refines U;
+for every nonempty compact set K in X, there exists some n such that finitely many member of U_n meets K.
*Reference [#ma6069c7]
Shou Lin, ''Mapping theorems on k-semistratifiable spaces'', Tsukuba J. Math. Vol.21 No.3 (1997), 809-815.
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