Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A characterization of Lašnev spaces

Author: H. H. Hung
Journal: Proc. Amer. Math. Soc. 103 (1988), 1278-1280
MSC: Primary 54C10
MathSciNet review: 955022
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Abstract: We give here a characterization of closed images of metrizable spaces in terms of the primitive concept of an ever finer sequence of partitions and a requirement considerably weaker than that of a $ k$-network.

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Keywords: Metrizable spaces, closed images, $ \sigma $-hereditarily closure-preserving $ k$-networks, $ g$-functions, ever finer sequence of partitions, property weaker than that of a $ k$-network
Article copyright: © Copyright 1988 American Mathematical Society