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

Evgenii G. Pytkeev,Alexander V. Osipov

doi:10.1016/j.topol.2023.108486

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

Evgenii G. Pytkeev, Alexander V. Osipov

https://doi.org/10.1016/j.topol.2023.108486

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Journal: Topology and its Applications

Publication Date: May 1, 2023

Affiliation: Ural Federal University, N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

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Abstract

Every metric space of weight <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi>λ</mml:mi><mml:mo linebreak="goodbreak" linebreakstyle="after">=</mml:mo><mml:msup><mml:mrow><mml:mi>λ</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">ℵ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:msup></mml:math> admits a condensation onto a Banach space

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