A characterization of local compactness
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.
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54D45
Retrieve articles in all journals with MSC: 54D45
Keywords: Local compactness, space of filters, cluster set of a filter, lower semifinite topology
Article copyright: © Copyright 1973 American Mathematical Society