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Borel Sets in Metric Spaces With Small Separable Subsets

Published online by Cambridge University Press:  20 November 2018

P. Daniels  and
G. Gruenhage
P. Daniels
Affiliation:
Department of Mathematics Auburn University Auburn, AL 36849
G. Gruenhage
Affiliation:
Department of Mathematics Auburn University Auburn, AL 36849
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Abstract

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Let X be a metric space such that every separable subspace of X has size less than the continuum. We answer a question of D. H. Fremlin by showing that MA + ┐CH does not necessarily imply that every subset of X is analytic.

Keywords

54H05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 4 , 01 December 1987 , pp. 471 - 475
Copyright
Copyright © Canadian Mathematical Society 1987

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