An algebraic characterization of dimension
HTML articles powered by AMS MathViewer
- by M. J. Canfell PDF
- Proc. Amer. Math. Soc. 32 (1972), 619-620 Request permission
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.References
- M. J. Canfell, Uniqueness of generators of principal ideals in rings of continuous functions, Proc. Amer. Math. Soc. 26 (1970), 571–573. MR 288109, DOI 10.1090/S0002-9939-1970-0288109-8
- Leonard Gillman and Meyer Jerison, Rings of continuous functions, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0116199, DOI 10.1007/978-1-4615-7819-2
Additional Information
- © Copyright 1972 American Mathematical Society
- 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