Preconvergence compactness and p-closed spaces
type: Item
instance of: scholarly article
title: Preconvergence compactness and p-closed spaces
zbMATH Open document ID: 0548.54001
DOI: 10.1155/S0161171284000326
author: Robert A. Herrmann
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/45386
review text: Summary: 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. rc-convergence) is equivalent to topological convergence where the topology has as a subbase the set of all regular-closed elements of T.
Mathematics Subject Classification ID: 54A20
Mathematics Subject Classification ID: 54D30
Mathematics Subject Classification ID: 54D25
zbMATH DE Number: 3874171
zbMATH Keywords: completely Hausdorff-closed space
zbMATH Keywords: H-closed spaces
zbMATH Keywords: Urysohn-closed spaces
zbMATH Keywords: preconvergence compactness
zbMATH Keywords: preconvergence closedness
zbMATH Keywords: s- convergence
zbMATH Keywords: rc-convergence
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3874171