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Proceedings of the American Mathematical Society

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



Spaces defined by sequences

Author: Andrew J. Berner
Journal: Proc. Amer. Math. Soc. 55 (1976), 193-200
MathSciNet review: 0394573
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Abstract: The biquotient, countably biquotient, hereditarily quotient, and quotient images of $ q$-spaces are classified. Also, the quotient images of paracompact $ M$-spaces, and the quotient images of $ M$-spaces are classified without any separation axioms. New definitions are given for certain familiar classes of spaces to give the definitions more uniformity.

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Keywords: Quotient map, biquotient map, hereditarily quotient map, $ k$-space, $ q$-space, relatively bi-quasi-$ k$-space, $ M$-space, pointwise countable type, strict $ q$-space
Article copyright: © Copyright 1976 American Mathematical Society

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