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Last-modified: 2010-07-23 (金) 23:35:09

Definition Edit

m and n denote cardinalities.
A space X is said to be (m, n)-paracompact if every open covering of X of cardinality no more than m has a locally-n open refinement.

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.