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K-analytic sets: corrigenda et addenda

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:
Dept. of Mathematics, University of Connecticut, Storrs, Connecticut 06268, U.S.A.
J. E. Jayne
Affiliation:
Dept. of Mathematics, University College London, Gower Street, London. WCiE 6BT
C. A. Rogers
Affiliation:
Dept. of Mathematics, University College London, Gower Street, London. WC1E 6BT
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Extract

In [4] we initiated a study of K-Lusin sets. We characterized the K-Lusin sets in a Hausdorff space X as the sets that can be obtained as the image of some paracompact Čech complete space G, under a continuous injective map that maps discrete families in G to discretely σ-decomposable families in X [4, Theorem 2, p. 195]. Unfortunately, we cannot substantiate a second characterization of K-Lusin sets in completely regular spaces, given in the second part of Theorem 14 of [4].

MSC classification

Secondary: 54H05: Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
Type
Research Article
Information
Mathematika , Volume 31 , Issue 1 , June 1984 , pp. 28 - 32
Copyright
Copyright © University College London 1984

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References

1.Engelking, R.. General Topology (Polish Scientific Publishers, Warsaw, 1977).Google Scholar
2.Frolik, Z.. On the topological product of paracompact spaces. Bull. Acad. Pol., Sci. Sér. Math., 8 (1960), 747–750.Google Scholar
3.Hansell, R. W.. On characterizing non-separable analytic and extended Borel sets as types of continuous images. Proc. London Math. Soc., (3), 28 (1974), 683–699.Google Scholar
4.Hansell, R. W., Jayne, J. E. and Rogers, C. A.. K-analytic sets. Mathematika, 30 (1983), 189–221.CrossRefGoogle Scholar
5.Hansell, R. W., Jayne, J. E. and Rogers, C. A.. Separation of K-analytic sets. To appear.Google Scholar