Quotient and pseudo-open images of separable metric spaces
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- by Paul L. Strong PDF
- Proc. Amer. Math. Soc. 33 (1972), 582-586 Request permission
Abstract:
Ernest A. Michael has given a characterization of the regular quotient images of separable metric spaces. His result is generalized here to a characterization of the ${T_1}$ quotient images of separable metric spaces (which are the same as the ${T_1}$ quotient images of second countable spaces). This result is then used to characterize the Hausdorff pseudo-open images of separable metric spaces.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 33 (1972), 582-586
- MSC: Primary 54B15; Secondary 54E35
- DOI: https://doi.org/10.1090/S0002-9939-1972-0300253-7
- MathSciNet review: 0300253