Abstract:In the class of $p$-spaces it is shown that (a) infinite weight is not lowered by finite-to-one maps which are open except at finitely many points, (b) metrizability is inversely preserved under finite-to-one maps which are open except at finitely many points.
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- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 48 (1975), 464-468
- MSC: Primary 54C10; Secondary 54E10
- DOI: https://doi.org/10.1090/S0002-9939-1975-0370472-5
- MathSciNet review: 0370472