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lightly paracompact

Last-modified: 2010-07-23 (金) 23:07:50

Definition Edit

A topological space X is said to be lightly paracompact if for every countable open cover U there exists a subset family V which refines U and whose closure covers X.

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.