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Effective properties in compact sets of Borel functions

Published online by Cambridge University Press:  26 February 2010

Gabriel Debs
Gabriel Debs
Affiliation:
Equipe d'Analyse, Université Paris VI, 4, Place Jussieu, 75252—Paris cedex 05, France.
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Abstract

We prove that, if (fn)n∈ω is a sequence of continuous functions on some recursively presentable Polish space, such that any pointwise cluster point of (fn)n∈ω is a Borel function, then there exists a -subsequence of (fn)n∈ω which is pointwise convergent. This is an effective version of a well known result of Bourgain, Fremlin and Talagrand.

Type
Research Article
Information
Mathematika , Volume 34 , Issue 1 , June 1987 , pp. 64 - 68
Copyright
Copyright © University College London 1987

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References

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