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κ-metacompact

Last-modified: 2010-07-22 (木) 16:26:18

Definition Edit

α denotes a cardinal.
A topological space is called α-metacompact if each open cover with cardinality less than or equal to α has a point-finite open refinement.

Reference Edit

N. Kemoto, Y. Yajima, Orthocompactness in infinite product spaces, Proc. Amer. Math. Soc. Vol.120 No.2 (1994).