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Proceedings of the American Mathematical Society

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

 

 

An algebraic characterization of dimension


Author: M. J. Canfell
Journal: Proc. Amer. Math. Soc. 32 (1972), 619-620
MSC: Primary 54F45
DOI: https://doi.org/10.1090/S0002-9939-1972-0305373-9
MathSciNet review: 0305373
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Abstract: The purpose of this paper is to translate the condition defining Lebesgue covering dimension of a topological space X into a condition on $ C(X)$, the ring of continuous real-valued functions on X.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0305373-9
Keywords: Basic covers, topological dimension
Article copyright: © Copyright 1972 American Mathematical Society