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Proceedings of the American Mathematical Society

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

 

 

Every zero-dimensional space is cell soluble


Author: Toshiji Terada
Journal: Proc. Amer. Math. Soc. 110 (1990), 569-571
MSC: Primary 54C99; Secondary 54F45
DOI: https://doi.org/10.1090/S0002-9939-1990-1021906-2
MathSciNet review: 1021906
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Abstract: In his study of the question of representing a space as a retract of a homogeneous space, Arhangel'skii introduced an interesting topological property called cell solubility. He raised the following problem: Is every zero-dimensional compact space cell soluble? We will give an affirmative answer to this problem.


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DOI: https://doi.org/10.1090/S0002-9939-1990-1021906-2
Keywords: Homogeneous, zero-dimensional, retract, cell soluble
Article copyright: © Copyright 1990 American Mathematical Society