A characterization of the least cardinal for which the Baire category theorem fails
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- by Arnold W. Miller
- Proc. Amer. Math. Soc. 86 (1982), 498-502
- DOI: https://doi.org/10.1090/S0002-9939-1982-0671224-2
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Abstract:
Let $\kappa$ be the least cardinal such that the real line can be covered by $\kappa$ many nowhere dense sets. We show that $\kappa$ can be characterized as the least cardinal such that "infinitely equal" reals fail to exist for families of cardinality $\kappa$.References
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Bibliographic Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 86 (1982), 498-502
- MSC: Primary 04A15; Secondary 03E05, 54H05
- DOI: https://doi.org/10.1090/S0002-9939-1982-0671224-2
- MathSciNet review: 671224