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Separation of K–analytic sets

Part of:Connections with other structures, applications

Published online by Cambridge University Press:  26 February 2010

R. W. Hansell,
J. E. Jayne and
C. A. Rogers
R. W. Hansell
Affiliation:
Department of Mathematics, University of Connecticut, Storrs, Connecticut 06268, U.S.A..
J. E. Jayne
Affiliation:
Department of Mathematics, University College London, Gower Street, London, WC1E 6BT
C. A. Rogers
Affiliation:
Department of Mathematics, University College London, Gower Street, London, WC1E 6BT
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Extract

In [5] we have developed part of a theory of K- analytic sets that forms a common generalization of the theory of Lindelöf K- analytic sets developed by Choquet, Sion and Frolik and the theory of metric analytic sets developed by Stone and Hansell. As we explain in [5], this theory parallels the recently developed theory of Frolík and Holický, but has certain advantages. In this paper we take the theory rather further, and, in particular, we prove a number of variants of Lusin's first separation theorem and give some of their applications. We make free use of the definitions, notation and conventions introduced in [5].

MSC classification

Secondary:54H05: Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)

Information

Type
Research Article
Information
Mathematika , Volume 32 , Issue 1 , June 1985, pp. 147 - 190
Copyright
Copyright © University College London 1985

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References

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