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supersubmetacompact をテンプレートにして作成
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*Definition [#c67ff464]
A topological space X is said to be supersubmetacompact iff for every open cover U of X, there exist countably many collections G_n of clopen sets which satisfies the following conditions:
++Each G_n refines U^F, where U^F is the collection of all unions of finite subcollections from U;
++For point x, there is an n such that x is contained in no more than finitely many members of G_n.
*Reference [#ad6e35f2]
D. Buhagiar, T. Miwa, and B. A. Pasynkov, ''Superparacompact type properties'', Yokohama Math. J. Vol.46, pp.71-86 (1998).
終了行:
*Definition [#c67ff464]
A topological space X is said to be supersubmetacompact iff for every open cover U of X, there exist countably many collections G_n of clopen sets which satisfies the following conditions:
++Each G_n refines U^F, where U^F is the collection of all unions of finite subcollections from U;
++For point x, there is an n such that x is contained in no more than finitely many members of G_n.
*Reference [#ad6e35f2]
D. Buhagiar, T. Miwa, and B. A. Pasynkov, ''Superparacompact type properties'', Yokohama Math. J. Vol.46, pp.71-86 (1998).
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