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Encyclopedia of Compactness Wiki*
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subparacompact をテンプレートにして作成
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開始行:
*Definition [#c7044a72]
A topological space is called subparacompact if every open cover of X has a [[σ-discrete]] closed refinement.
*Property [#y8409ed8]
-Every metacompact space in which every closed subset is Gδ is subparacompact.
*Remark [#yfaf8d91]
-It is also called [[σ-paracompact]].
*Reference [#v8830092]
-Dennis K. Burke, ''On subcompact spaces'', Proc. Amer. Math. Soc. Vol.23 No.3 (1969) pp.655-663.
-R. E. Hodel, ''A note on subparacompact spaces'', Proceedings of the American Mathematical Society, 1970.
終了行:
*Definition [#c7044a72]
A topological space is called subparacompact if every open cover of X has a [[σ-discrete]] closed refinement.
*Property [#y8409ed8]
-Every metacompact space in which every closed subset is Gδ is subparacompact.
*Remark [#yfaf8d91]
-It is also called [[σ-paracompact]].
*Reference [#v8830092]
-Dennis K. Burke, ''On subcompact spaces'', Proc. Amer. Math. Soc. Vol.23 No.3 (1969) pp.655-663.
-R. E. Hodel, ''A note on subparacompact spaces'', Proceedings of the American Mathematical Society, 1970.
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