A metric characterizing Čech dimension zero
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- by K. A. Broughan PDF
- Proc. Amer. Math. Soc. 39 (1973), 437-440 Request permission
Abstract:
In this paper we prove the following: a metrizable space $(X,\tau )$ has (Čech) dimension zero if and only if there is a metric for $X$, generating the topology $\tau$, taking values in some subset of the nonnegative real numbers with 0 as its only cluster point.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 39 (1973), 437-440
- MSC: Primary 54F45; Secondary 54E35
- DOI: https://doi.org/10.1090/S0002-9939-1973-0314012-3
- MathSciNet review: 0314012