One-point compactification on convergence spaces

Shing S. So

International Journal of Mathematics and Mathematical Sciences, 1994, vol. 17, 1-6

Abstract:

A convergence space is a set together with a notion of convergence of nets. It is well known how the one-point compactification can be constructed on noncompact, locally compact topological spaces. In this paper, we discuss the construction of the one-point compactification on noncompact convergence spaces and some of the properties of the one-point compactification of convergence spaces are also discussed.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:429491

DOI: 10.1155/S0161171294000402

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