Pengfei YAN, Qiuli WANG

Countably mesocompact spaces and function insertion

Yayın Aralığı: 6
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

A topological space X is called countably mesocompact if for every countably open cover U of X, there exists an open refinement V of U such that {V ∈ V : V ∩K 6= ∅} is finite for every compact set K in X. In this paper, we investigate relations between insertion of semi-continuous functions and a kind of spaces with countable mesocompactness , and give some characterizations of countably mesocompact spaces, k-perfect spaces and k-MCM spaces.

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