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

DOI:
https://doi.org/10.1090/S0002-9939-1974-0362188-5

MathSciNet review:
0362188

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Abstract | References | Similar Articles | Additional Information

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 factors is established.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1974-0362188-5

Keywords:
Separable,
sequential limit,
Martin's axiom,
topological product,
set-theoretic consistency

Article copyright:
© Copyright 1974
American Mathematical Society