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submetacompact

Last-modified: 2010-07-23 (金) 13:04:50

Definition Edit

A topological space X is called submetacompact (or θ-rifinable) if for each open cover U, there exists a sequence V_n of 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)