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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

$ \sigma $-locally finite maps


Author: E. Michael
Journal: Proc. Amer. Math. Soc. 65 (1977), 159-164
MSC: Primary 54C10
MathSciNet review: 0442878
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Abstract: A map $ f:X \to Y$ is called $ \sigma $-locally finite if every $ \sigma $-locally finite cover $ \mathcal{A}$ of X has a refinement $ \mathcal{B}$ such that $ f(\mathcal{B})$ is $ \sigma $-locally finite. The principal purpose of this paper is to provide proofs of some results on these maps which were announced by the author in a previous note.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0442878-9
PII: S 0002-9939(1977)0442878-9
Keywords: $ \sigma $-locally finite maps, $ \sigma $-spaces, $ \Sigma $-spaces, metrizable spaces, paracompact M-spaces
Article copyright: © Copyright 1977 American Mathematical Society