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κ-suborthocompact

Last-modified: 2010-07-23 (金) 13:37:09

Definition Edit

κ is a cardinality.
A topological space X is called κ-suborthocompact if for each open cover U, with cardinality less than or equal to κ, there exists a sequence V_n of open refinements of U such that for each x in X, there exists some n such that the union of all the member of V_n containing x is a neighborhood of x.

Remark Edit

Reference Edit

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