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John E. Porter

Strongly base-paracompact spaces

Comment.Math.Univ.Carolinae 44,2 (2003) 307-314.

Abstract: A spaceX is said to be strongly base-paracompact if there is a basis B for X with |B|=w(X) such that every open cover of X has a star-finite open refinement by members of B. Strongly paracompact spaces which are strongly base-paracompact are studied. Strongly base-paracompact spaces are shown have a family of functionsF with cardinality equal to the weight such that every open cover has a locally finite partition of unity subordinated to it fromF.

Keywords: base-paracompact, strongly base-paracompact, partition of unity, Lin- del¨of spaces

AMS Subject Classification: 54D20

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