Baireness of the space of pointwise stabilizing functions of the first Baire class

2022/05/24 by Osipov, Alexander V.
#FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.2206.01602

Abstract

A topological space X is Baire if the Baire Category Theorem holds for X, i.e., the intersection of any sequence of open dense subsets of X is dense in X. In this paper, we have obtained that the space B^st₁(X) of pointwise stabilizing Baire-one functions is Baire if the space B₁(X) of Baire-one functions is so. This answers a question posed recently by T. Banakh and S. Gabriyelyan.

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