Symmetrizable and related spaces

Symmetrizable and related spaces
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Trans. Amer. Math. Soc. 219 (1976), 89-111

DOI: https://doi.org/10.1090/S0002-9947-1976-0418048-0

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A study is made of a family of spaces which contains the symmetrizable spaces as well as many of the well-known examples of perfectly normal spaces.

References

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Works in topology and other fields of mathematics

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Sur les espaces

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A. J. Ostaszewski, On countably compact, perfectly normal spaces, J. London Math. Soc. (2) 14 (1976), no. 3, 505–516. MR 438292, DOI 10.1112/jlms/s2-14.3.505
R. M. Stephenson Jr., Discrete subsets of perfectly normal spaces, Proc. Amer. Math. Soc. 34 (1972), 605–608. MR 296885, DOI 10.1090/S0002-9939-1972-0296885-5

An alternative to the continuum hypothesis and its uses in general topology

J. E. Vaughan, Classroom Notes: Lexicographic Products and Perfectly Normal Spaces, Amer. Math. Monthly 78 (1971), no. 5, 533–536. MR 1536336, DOI 10.2307/2317766

Countably compact, perfectly normal spaces may or may not be compact

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