On strong form of Arzela convergence
type: Item
instance of: scholarly article
title: On strong form of Arzela convergence
zbMATH Open document ID: 0872.54004
DOI: 10.1155/S0161171297000574
author: Janina Ewert
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1997-10-15T00:00:00Z
full work available at URL: https://eudml.org/doc/47708
review text: Summary: We define some new type of convergence of nets of functions which is formulated in terms of open covers. It preserves continuity and under some assumptions implies (or coincides with) the Arzela quasi-uniform convergence. Furthermore, the introduced strong convergence is used for characterization of compactness and regularity of a topological space.
Mathematics Subject Classification ID: 54A20
zbMATH DE Number: 1054245
zbMATH Keywords: almost compact space
zbMATH Keywords: uniform space
zbMATH Keywords: Arzela quasi-uniform convergence
MaRDI profile type: Publication
OpenAlex ID: W2094834123
description: scientific article; zbMATH DE number 1054245