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Lindelöf modifications and K-analytic spaces

Part of: Connections with other structures, applications

Published online by Cambridge University Press:  26 February 2010

David H. Fremlin ,
Petr Holický  and
Jan Pelant
David H. Fremlin
Affiliation:
Department of Mathematics, Essex University, Wivenhoe Park, Colchester. CO4 3SQ.
Petr Holický
Affiliation:
Department of Mathematical Analysis, Charles University, Sokolovská 83, 18600 Praha 8, Czech Republic..
Jan Pelant
Affiliation:
Mathematical Institute ČSAV, Žitná 25, 11567 Praha 1, Czech Republic..
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Abstract

We present simple constructions of spaces which are countably K -determined, Čech analytic and not K-analytic. We prove that the statement “every uncountable K-analytic space contains an uncountable compact subset” is equivalent to b > ω, extending a result of the first author.

MSC classification

Secondary: 54H05: Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
Type
Research Article
Information
Mathematika , Volume 40 , Issue 1 , June 1993 , pp. 1 - 6
Copyright
Copyright © University College London 1993

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References

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