For any 𝑋, the product 𝑋×𝑌 is homogeneous for some 𝑌

Uspenskiĭ, Vladimir V.

doi:10.1090/S0002-9939-1983-0677259-9

For any , the product $X\times Y$ is homogeneous for some

Author: Vladimir V. Uspenskiĭ
Journal: Proc. Amer. Math. Soc. 87 (1983), 187-188
MSC: Primary 54G20; Secondary 54B10
DOI: https://doi.org/10.1090/S0002-9939-1983-0677259-9
MathSciNet review: 677259
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Abstract: We prove that for every topological space there exists a cardinal and a nonempty subspace $Y \subseteq {X^k}$ such that the product $X \times Y$ is homogeneous. This answers a question of A. V. Arhangel'skiĭ.

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