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pointwise m-paracompact

Last-modified: 2011-08-08 (月) 22:24:29

Definition Edit

m denotes a cardinality.
A space X is said to be pointwise m-paracompact if every open covering of X of cardinality no more than m has a point-finite open refinement.

Remark Edit

Reference Edit

M. K. Singal, Some Generalizations of Paracompactness, Proceedings of the Kanpur topological conference, 1968. Academia Publishing House of the Czechoslovak Academy of Sciences, Praha, 1971. pp. 245-263.