A stratifiable $k_{R}$-space which is not a $k$-space
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- by Carlos R. Borges PDF
- Proc. Amer. Math. Soc. 81 (1981), 308-310 Request permission
Abstract:
E. A. Michael has given an example of a $\sigma$-compact, cosmic ${k_R}$-space which is not a $k$-space. We prove that this space is stratifiable.References
- Carlos J. R. Borges, On stratifiable spaces, Pacific J. Math. 17 (1966), 1–16. MR 188982, DOI 10.2140/pjm.1966.17.1
- Carlos R. Borges, A study of monotonically normal spaces, Proc. Amer. Math. Soc. 38 (1973), 211–214. MR 324644, DOI 10.1090/S0002-9939-1973-0324644-4
- E. Michael, On $k$-spaces, $k_{R}$-spaces and $k(X)$, Pacific J. Math. 47 (1973), 487–498. MR 331328
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 81 (1981), 308-310
- MSC: Primary 54E20; Secondary 54D50
- DOI: https://doi.org/10.1090/S0002-9939-1981-0593478-2
- MathSciNet review: 593478