Stratifiable $\sigma$-discrete spaces are $M_{1}$
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- by Gary Gruenhage PDF
- Proc. Amer. Math. Soc. 72 (1978), 189-190 Request permission
Abstract:
It is shown that stratifiable $\sigma$-discrete spaces are ${M_1}$. A corollary is that scattered stratifiable spaces are ${M_1}$.References
- Jack G. Ceder, Some generalizations of metric spaces, Pacific J. Math. 11 (1961), 105–125. MR 131860, DOI 10.2140/pjm.1961.11.105
- Gary Gruenhage, Stratifiable spaces are $M_{2}$, Topology Proceedings, Vol. I (Conf., Auburn Univ., Auburn, Ala., 1976) Math. Dept., Auburn Univ., Auburn, Ala., 1977, pp. 221–226. MR 0448307
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- Heikki J. K. Junnila, Neighbornets, Pacific J. Math. 76 (1978), no. 1, 83–108. MR 482677, DOI 10.2140/pjm.1978.76.83 P. J. Nyikos, Covering properties on $\sigma$-scattered spaces, Topology Proceedings (to appear).
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 72 (1978), 189-190
- MSC: Primary 54E20
- DOI: https://doi.org/10.1090/S0002-9939-1978-0500850-5
- MathSciNet review: 0500850