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Structure of analytic Hausdorff spaces

Published online by Cambridge University Press:  26 February 2010

J. E. Jayne
J. E. Jayne
Affiliation:
Department of Mathematics, University College London.
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Extract

In Hausdorff topological spaces there are currently three definitions of analytic sets due respectively to Choquet [1], Sion [8], and Frolīk [3, 4]. Here it is shown that these definitions are equivalent.

Type
Research Article
Information
Mathematika , Volume 23 , Issue 2 , December 1976 , pp. 208 - 211
Copyright
Copyright © University College London 1976

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References

1.Choquet, G.. “Ensembles boréliens et analytiques dans les espaces topologiques”, C.R. Acad. Sci. Paris, 232 (1951), 2174–2176.Google Scholar
2.Frolik, Z.. “On the topological product of paracompact spaces”, Bull. Acad. Polon. Sci., 8 (1960), 747–750.Google Scholar
3.Frolik, Z.. “On analytic spaces”, Bull. Acad. Polon. Sci., 9 1961, 721–726.Google Scholar
4.Frolik, Z.. “A contribution to the descriptive theory of sets”, Top. Rel. Mod. Anal, and Alg. I, Prague, 1961Google Scholar
5.Frolik, Z.. “A survey of the separable descriptive theory of sets and spaces”, Czech. Math. J., 20 (1970), 406–467.CrossRefGoogle Scholar
6.Rogers, C. A.. “Analytic sets in Hausdorff spaces”, Mathematika, 11 (1964), 1–8.CrossRefGoogle Scholar
7.Rogers, C. A.. “Descriptive Borel sets”, Proc. Roy. Soc. A, 286 (1965), 455–478.Google Scholar
8.Sion, M.. “On analytic sets in topological spaces” Trans. Amer. Math. Soc., 96 (1960), 341–354.CrossRefGoogle Scholar