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σ-totally paracompact

Last-modified: 2010-07-23 (金) 23:54:33

Definition Edit

A space X is said to be σ-totally paracompact if for every open base B of X, there exists a σ-locally finite? open covering U of X such that for each V in U, there exists A in B such that A contains V and boundary A contains boundary V.

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.