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K-analytic spaces with metrizable compacta

Part of: Connections with other structures, applications

Published online by Cambridge University Press:  26 February 2010

D. H. Fremlin
D. H. Fremlin
Affiliation:
University of Essex, Colchester, Essex.
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Extract

I discuss various necessary and sufficient conditions for a K-analytic space to be Souslin. In particular, I show that if the continuum hypothesis is true, then there is a non-Souslin K-analytic space in which every compact set is metrizable; while if Martin's Axiom is true and the continuum hypothesis is false, this is impossible.

MSC classification

Secondary: 54H05: Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
Type
Research Article
Information
Mathematika , Volume 24 , Issue 2 , December 1977 , pp. 257 - 261
Copyright
Copyright © University College London 1977

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