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Proceedings of the American Mathematical Society

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



How separable is a space? That depends on your set theory!

Author: Franklin D. Tall
Journal: Proc. Amer. Math. Soc. 46 (1974), 310-314
MSC: Primary 54B10; Secondary 54E30
MathSciNet review: 0362188
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Abstract: A. Wilansky has raised the question of the productive behaviour of the property of having a countable set, such that each point is a sequential limit point of the set. The set-theoretic consistency and independence of the proposition that this property is preserved by products of $ {\aleph _1}$ factors is established.

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Keywords: Separable, sequential limit, Martin's axiom, topological product, set-theoretic consistency
Article copyright: © Copyright 1974 American Mathematical Society

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