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Proceedings of the American Mathematical Society

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Spaces whose closed images are $ M\sb{1}$


Authors: Munehiko Itō and Ken-ichi Tamano
Journal: Proc. Amer. Math. Soc. 87 (1983), 159-163
MSC: Primary 54E20; Secondary 54C10, 54F45
MathSciNet review: 677253
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Abstract: Almost local finiteness is introduced. The class of all spaces with a $ \sigma $-almost locally finite base is an intermediate class between that of free $ L$-spaces and that of $ {M_1}$-spaces. The class is countably productive, hereditary and the closed image of a space in the class is $ {M_1}$.


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DOI: https://doi.org/10.1090/S0002-9939-1983-0677253-8
Keywords: Almost locally finite, $ \sigma $-almost locally finite base, $ {M_1}$-space, free $ L$-space, closed map
Article copyright: © Copyright 1983 American Mathematical Society