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Effective properties in compact sets of Borel functions

 

作者: Gabriel Debs,  

 

期刊: Mathematika  （WILEY Available online 1987）
卷期: Volume 34, issue 1  

页码: 64-68

 

ISSN:0025-5793

 

年代: 1987

 

DOI:10.1112/S0025579300013280

 

出版商: London Mathematical Society

 

数据来源: WILEY

 

摘要:

AbstractWe prove that, if (fn)n∈ω is aΔ11sequence 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 aΔ11‐subsequence of (fn)n∈ω which is pointwise convergent. This is an effective version of a well known result of Bourgain, Fremlin and Talagrand.

 

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