A countable $k$-space that is not stratifiable
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- Proc. Amer. Math. Soc. 81 (1981), 337-338 Request permission
Abstract:
We add a point to a countable metric space to obtain a regular Fréchet space which is not stratifiable.References
- Eric K. van Douwen and Roman Pol, Countable spaces without extension properties, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 25 (1977), no. 10, 987–991 (English, with Russian summary). MR 474182
- Eric K. van Douwen, Nonstratifiable regular quotients of separable stratifiable spaces, Proc. Amer. Math. Soc. 52 (1975), 457–460. MR 375247, DOI 10.1090/S0002-9939-1975-0375247-9
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 81 (1981), 337-338
- MSC: Primary 54E20; Secondary 54D55
- DOI: https://doi.org/10.1090/S0002-9939-1981-0593485-X
- MathSciNet review: 593485