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n-boundedly paracompact

Last-modified: 2010-08-17 (火) 00:28:45

Definition Edit

n denotes a positive integer.
Let X be a topological space. Then X is called n-boundedly paracompact provided that n is the least positive integer such that if C is an open cover of X, then C has a locally finite open refinement of order n.

Reference Edit

P. Fletcher, R.A. Mccoy AND R. Slover, On Boundedly Metacompact And Boundedly Paracompact Spaces, Proc. Amer. Math. Soc, Vol. 25, No. 2 (1970), pp.335-342.