Extension of fragmented Baire-one functions on Lindelöf spaces

2018/09/25 by Olena Karlova, Karlova, Olena, Volodymyr Mykhaylyuk +1
Mathematics · #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Holomorphic and Operator Theory #math.GN

paper · pdf · doi:10.48550/arxiv.1809.09339

arxiv created 2018/09/25 · openalex publication_date 2018/09/25 · arxiv updated 2018/09/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the possibility of extension of fragmented functions from Lindelöf subspaces of completely regular spaces and find necessary and sufficient conditions on a fragmented Baire-one function to be extendable on any completely regular superspace

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