A space which contains no realcompact dense subspace
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- by Toshiji Terada PDF
- Proc. Amer. Math. Soc. 88 (1983), 162-164 Request permission
Abstract:
A Tychonoff space which contains no realcompact space as a dense subspace is constructed. Let $\mathcal {D}\mathcal {R}$ be the class of all spaces which contain some realcompact spaces as dense subspaces. Then, as a consequence of the above result, it follows that $\mathcal {D}\mathcal {R}$ is not closed-hereditary.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 88 (1983), 162-164
- MSC: Primary 54D60; Secondary 54B05, 54B10, 54G20
- DOI: https://doi.org/10.1090/S0002-9939-1983-0691300-9
- MathSciNet review: 691300