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Proceedings of the American Mathematical Society

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Stratifiable $ \sigma $-discrete spaces are $ M\sb{1}$


Author: Gary Gruenhage
Journal: Proc. Amer. Math. Soc. 72 (1978), 189-190
MSC: Primary 54E20
DOI: https://doi.org/10.1090/S0002-9939-1978-0500850-5
MathSciNet review: 0500850
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Abstract: It is shown that stratifiable $ \sigma $-discrete spaces are $ {M_1}$. A corollary is that scattered stratifiable spaces are $ {M_1}$.


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DOI: https://doi.org/10.1090/S0002-9939-1978-0500850-5
Keywords: Stratifiable, $ {M_1}$-space, monotonically normal
Article copyright: © Copyright 1978 American Mathematical Society

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