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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A characterization of local compactness


Author: R. V. Fuller
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
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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.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0317278-9
Keywords: Local compactness, space of filters, cluster set of a filter, lower semifinite topology
Article copyright: © Copyright 1973 American Mathematical Society