Discrete subsets of perfectly normal spaces
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- by R. M. Stephenson PDF
- Proc. Amer. Math. Soc. 34 (1972), 605-608 Request permission
Abstract:
Following R. W. Heath and E. A. Michael [HM], we call a topological space perfect if each of its closed subsets is a ${G_\delta }$. In this note we (i) give a characterization of compact perfect ${T_1}$ spaces and (ii) obtain some results concerning the cardinality of discrete subsets of perfect spaces.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 34 (1972), 605-608
- MSC: Primary 54A25; Secondary 54B15
- DOI: https://doi.org/10.1090/S0002-9939-1972-0296885-5
- MathSciNet review: 0296885