E. G. Pytkeev

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20162022

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math.GN2022

Baire property of spaces of $[0, 1]$ -valued continuous functions

Alexander V. Osipov, Evgenii G. Pytkeev

A topological space $X$ is Baire if the intersection of any sequence of open dense subsets of $X$ is dense in $X$ . Let $C_{p} (X, [0, 1])$ denote the space of all continuous $[0, 1]$ -val…

math.GN2022

Every metric space of weight $λ = λ^{ℵ_{0}}$ admits a condensation onto a Banach space

Alexander V. Osipov, Evgenii G. Pytkeev

In this paper, we have proved that for each cardinal number $λ$ such that $λ = λ^{ℵ_{0}}$ a metric space of weight $λ$ admits a bijective continuous mapping onto a Banach space of…

Baire property of spaces of [0,1]-valued continuous functions

Every metric space of weight λ=λℵ0​ admits a condensation onto a Banach space

Baire property of spaces of $[0, 1]$ -valued continuous functions

Every metric space of weight $λ = λ^{ℵ_{0}}$ admits a condensation onto a Banach space