Preconvergence compactness and P -closed spaces

Robert A. Herrmann

International Journal of Mathematics and Mathematical Sciences, 1984, vol. 7, 1-8

Abstract:

In this article the major result characterizes preconvergence compactness in terms of the preconvergence closedness of second projections. Applying this result to a topological space ( X , T ) yields similar characterizations for H -closed, nearly compact, completely Hausdorff-closed, extremely disconnected Hausdorff-closed, Urysohn-closed, S -closed and R -closed spaces, among others. Moreover, it is established that the s -convergence of Thompson (i.e. r c -convergence) is equivalent to topological convergence where the topology has as a subbase the set of all regular-closed elements of T .

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:486012

DOI: 10.1155/S0161171284000326

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