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K-analytic uniform structures

Published online by Cambridge University Press:  14 November 2011

Miguel A. Canela
Miguel A. Canela
Affiliation:
Departament de Teoria de Funcions, Facultat de Matematiques, Universitat de Barcelona, Gran Via 585, Barcelona 08007, Spain
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Extract

This article deals with the uniform spaces (X, μ) such that μ is a K-analytic subset of 2X×X. G. Godefroy considered this situation for X countable, in his study of certain compact sets of measurable functions, and some of his results are extended here. We prove that the uniformity of an Eberlein compact is K-analytic, and give some applications.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 99 , Issue 1-2 , 1984 , pp. 163 - 170
Copyright
Copyright © Royal Society of Edinburgh 1984

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