Hostname: page-component-745bb68f8f-kw2vx Total loading time: 0 Render date: 2025-01-11T06:28:03.069Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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