Regular-uniform convergence and the open-open topology

In 1994, Bânzaru introduced the concept of regular-uniform, or r-uniform, convergence on a family of functions. We discuss the relationship between this topology and the open-open topology, which was described in 1993 by Porter, on various collections of functions.

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Main Author: Kathryn F. Porter
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201003027
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author Kathryn F. Porter
author_facet Kathryn F. Porter
author_sort Kathryn F. Porter
collection DOAJ
description In 1994, Bânzaru introduced the concept of regular-uniform, or r-uniform, convergence on a family of functions. We discuss the relationship between this topology and the open-open topology, which was described in 1993 by Porter, on various collections of functions.
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institution Kabale University
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-e40b8d89b03f4559a1532c48ea731b532025-02-03T01:30:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0125535736010.1155/S0161171201003027Regular-uniform convergence and the open-open topologyKathryn F. Porter0Department of Mathematics and Computer Science, Saint Mary's College of California, Moraga, CA 94575, USAIn 1994, Bânzaru introduced the concept of regular-uniform, or r-uniform, convergence on a family of functions. We discuss the relationship between this topology and the open-open topology, which was described in 1993 by Porter, on various collections of functions.http://dx.doi.org/10.1155/S0161171201003027
spellingShingle Kathryn F. Porter
Regular-uniform convergence and the open-open topology
International Journal of Mathematics and Mathematical Sciences
title Regular-uniform convergence and the open-open topology
title_full Regular-uniform convergence and the open-open topology
title_fullStr Regular-uniform convergence and the open-open topology
title_full_unstemmed Regular-uniform convergence and the open-open topology
title_short Regular-uniform convergence and the open-open topology
title_sort regular uniform convergence and the open open topology
url http://dx.doi.org/10.1155/S0161171201003027
work_keys_str_mv AT kathrynfporter regularuniformconvergenceandtheopenopentopology