Maximal extensions of first-countable spaces
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- by Toshiji Terada and Jun Terasawa PDF
- Proc. Amer. Math. Soc. 85 (1982), 95-99 Request permission
Abstract:
A first-countable space is called maximal if it is not contained as a dense subspace in a first-countable space properly. The following are shown; (1) every locally compact, first-countable space is a dense subspace of a maximal space, (2) every metrizable space is a dense subspace of a maximal space, and (3) there is a first-countable space which is not a dense subspace of any maximal space.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 85 (1982), 95-99
- MSC: Primary 54D20; Secondary 54C20
- DOI: https://doi.org/10.1090/S0002-9939-1982-0647906-5
- MathSciNet review: 647906