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Proceedings of the American Mathematical Society

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

 
 

 

An unbaireable stratifiable space


Author: Eric K. van Douwen
Journal: Proc. Amer. Math. Soc. 67 (1977), 324-326
MSC: Primary 54E20
DOI: https://doi.org/10.1090/S0002-9939-1977-0474220-1
MathSciNet review: 0474220
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Abstract: There is a stratifiable space which cannot be densely embedded in a stratifiable Baire space, in fact not even in a regular Baire $ \sigma $-space. Every regular Baire $ \sigma $-space, hence every stratifiable Baire space, has a dense metrizable $ {G_\delta }$-subspace.


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DOI: https://doi.org/10.1090/S0002-9939-1977-0474220-1
Keywords: Baire, stratifiable, $ \sigma $-space, dense metrizable subspace, $ \pi $-weight, cellularity, box product
Article copyright: © Copyright 1977 American Mathematical Society

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