Two constructions of gamma spaces

יום ב', 04/03/2019 - 13:00
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An infinite cover of a topological space is an w-cover if every finite subset of this space is contained in some member of the cover, and the whole space is not a member the cover. A cover of a topological space is a gamma-cover if every point of this space belongs to all but finitely many members of this cover. A gamma-space is a space in which every open w-cover contains a gamma-cover.
In this talk, we will present the details how to construct it.