On continuously semimetrizable and stratifiable spaces
Author:
Carlos J. R. Borges
Journal:
Proc. Amer. Math. Soc. 24 (1970), 193-196
MSC:
Primary 54.35
DOI:
https://doi.org/10.1090/S0002-9939-1970-0250266-7
MathSciNet review:
0250266
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References | Similar Articles | Additional Information
- Carlos J. R. Borges, On stratifiable spaces, Pacific J. Math. 17 (1966), 1–16. MR 188982
- Jack G. Ceder, Some generalizations of metric spaces, Pacific J. Math. 11 (1961), 105–125. MR 131860 H. Cook, Cartesian products and continuous semimetrics, Topology Conference at Arizona State University, Tempe, Ariz., 1967 (Editor: E. Grace).
- Robert W. Heath, A regular semi-metric space for which there is no semi-metric under which all spheres are open, Proc. Amer. Math. Soc. 12 (1961), 810–811. MR 125562, DOI https://doi.org/10.1090/S0002-9939-1961-0125562-9
- R. W. Heath, A paracompact semi-metric space which is not an $M_{3}$-space, Proc. Amer. Math. Soc. 17 (1966), 868–870. MR 195051, DOI https://doi.org/10.1090/S0002-9939-1966-0195051-9
- John L. Kelley, General topology, D. Van Nostrand Company, Inc., Toronto-New York-London, 1955. MR 0070144 B. T. Sims, Note on an example of Heath, Amer. Math. Monthly 70 (1963), 854-855.
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Article copyright:
© Copyright 1970
American Mathematical Society