Weak topologies and equicontinuity
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- by Donald F. Reynolds and John W. Schleusner PDF
- Proc. Amer. Math. Soc. 80 (1980), 349-352 Request permission
Abstract:
Corresponding to each family F of real-valued functions on a set X, there is a weakest topology on X for which F is equicontinuous. This equiweak topology is pseudometrizable and provides a characterization of metrizable topologies in terms of point-separating families of real-valued functions.References
- J. A. Guthrie and M. Henry, Metrization, paracompactness, and real-valued functions, Fund. Math. 95 (1977), no. 1, 49–54. MR 436090, DOI 10.4064/fm-95-1-49-53
- J. A. Guthrie and Michael Henry, Metrization, paracompactness, and real-valued functions. II, Fund. Math. 104 (1979), no. 1, 13–20. MR 549377, DOI 10.4064/fm-104-1-13-20
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 80 (1980), 349-352
- MSC: Primary 54C30
- DOI: https://doi.org/10.1090/S0002-9939-1980-0577772-6
- MathSciNet review: 577772