A characterization of local compactness
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- by R. V. Fuller PDF
- Proc. Amer. Math. Soc. 37 (1973), 615-616 Request permission
Abstract:
In this paper we show that the cluster set of a filter in a Hausdorff space X is a continuous function of the filter if and only if X is locally compact.References
- John L. Kelley, General topology, D. Van Nostrand Co., Inc., Toronto-New York-London, 1955. MR 0070144
- Oswald Wyler, A characterization of regularity in topology, Proc. Amer. Math. Soc. 29 (1971), 588–590. MR 281146, DOI 10.1090/S0002-9939-1971-0281146-X
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 37 (1973), 615-616
- MSC: Primary 54D45
- DOI: https://doi.org/10.1090/S0002-9939-1973-0317278-9
- MathSciNet review: 0317278