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weakly κ-submetacompact

Last-modified: 2016-04-13 (水) 18:14:25

Definition Edit

κ denotes a cardinality.
A topological space X is called weakly κ-submetacompact if for each open cover U with cardinality less than or equal to κ, there exists a sequence V_n of weak open refinements of U such that for each x in X, V_n is point-finite at x for some n.

Remark Edit

Reference Edit

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