A short proof that metric spaces are realcompact
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- by M. D. Rice PDF
- Proc. Amer. Math. Soc. 32 (1972), 313-314 Request permission
Abstract:
A short proof is given that metric spaces which have no closed discrete subspaces of measurable cardinal are realcompact. This result is used to obtain the Shirota theorem that topologically complete spaces which have no closed discrete subspaces of measurable cardinal are realcompact.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 313-314
- MSC: Primary 54.35
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288724-3
- MathSciNet review: 0288724