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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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


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 $ X$ there exists a cardinal $ k$ 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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DOI: https://doi.org/10.1090/S0002-9939-1983-0677259-9
Article copyright: © Copyright 1983 American Mathematical Society