Separability of metric spaces
Author:
Prabir Roy
Journal:
Trans. Amer. Math. Soc. 149 (1970), 19-43
MSC:
Primary 54.35
DOI:
https://doi.org/10.1090/S0002-9947-1970-0263020-1
MathSciNet review:
0263020
Full-text PDF Free Access
References | Similar Articles | Additional Information
- [1] Paul Alexandroff, Über die Metrisation der im Kleinen kompakten topologischen Räume, Math. Ann. 92 (1924), no. 3-4, 294–301 (German). MR 1512216, https://doi.org/10.1007/BF01448011
- [2] E. E. Grace and R. W. Heath, Separability and metrizability in pointwise paracompact Moore spaces, Duke Math. J. 31 (1964), 603–610. MR 169211
- [3] F. B. Jones, A theorem concerning locally peripherally separable spaces, Bull. Amer. Math. Soc. 41 (1935), no. 6, 437–439. MR 1563107, https://doi.org/10.1090/S0002-9904-1935-06111-7
- [4] J. R. Isbell, Uniform spaces, Mathematical Surveys, No. 12, American Mathematical Society, Providence, R.I., 1964. MR 0170323
- [5] Louis F. McAuley, A relation between perfect separability, completeness, and normality in semi-metric spaces, Pacific J. Math. 6 (1956), 315–326. MR 80907
- [6] R. L. Moore, Foundations of point set theory, Revised edition. American Mathematical Society Colloquium Publications, Vol. XIII, American Mathematical Society, Providence, R.I., 1962. MR 0150722
- [7] J. H. Roberts, A problem of Treybig concerning separable spaces, Duke Math. J. 28 (1961), 153–155. MR 131858
- [8] Prabir Roy, Separability of connected, locally connected, metric spaces, Duke Math. J. 29 (1962), 99–100. MR 133802
- [9] -, Separability of metric spaces, Doctoral Dissertation, University of North Carolina, Chapel Hill, N. C., 1961.
- [10] L. B. Treybig, Concerning certain locally peripherally separable spaces, Pacific J. Math. 10 (1960), 697–704. MR 116309
- [11] L. B. Treybig, Concerning local separability in locally peripherally separable spaces, Proc. Amer. Math. Soc. 10 (1959), 957–958. MR 109338, https://doi.org/10.1090/S0002-9939-1959-0109338-5
- [12] L. B. Treybig, Separability in metric spaces, Duke Math. J. 27 (1960), 383–386. MR 131857
- [13] G. T. Whyburn, Analytical topology, Amer. Math. Soc. Colloq. Publ., vol. 28, Amer. Math. Soc., Providence, R. I., 1942. MR 4, 86.
Retrieve articles in Transactions of the American Mathematical Society with MSC: 54.35
Retrieve articles in all journals with MSC: 54.35
Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1970-0263020-1
Article copyright:
© Copyright 1970
American Mathematical Society