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weakly (m,n)-paracompact

Last-modified: 2010-07-23 (金) 23:45:24

Definition Edit

m and n denote cardinalities.
X is said to be weakly (m, n)-paracompact if for each open covering U of X with cardinality no more than m, there exists a locally-n family V of open subsets of X which refines U and the closure of members in V cover X.

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.