A criterion to specify the absence of Baire property

2014/03/06 by Pourbarat, Mehdi, Abbasi, Neda
#37B55 #54E52 #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.1403.1529

Abstract

Let X be a topological space. Let X₀ ⊆ X be a second countable subspace. Also, assume that X is first countable at any point of X₀. Then we provide some conditions under which we ensure that X₀ is not Baire.

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