A study of topological structures on equi-continuous mappings

Abstract Function space topologies are developed for EC(Y,Z), the class of equi-continuous mappings from a topological space Y to a uniform space Z. Properties such as splittingness, admissibility etc. are defined for such spaces. The net theoretic investigations are carried out to provide character...

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Autores principales:	Gupta,Ankit, Sarma,Ratna Dev
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2021
Materias:	Topology Uniform space Function spaces Equi-continuous mappings Net convergence.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200335
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spelling	oai:scielo:S0716-091720210002003352021-04-03A study of topological structures on equi-continuous mappingsGupta,AnkitSarma,Ratna Dev Topology Uniform space Function spaces Equi-continuous mappings Net convergence. Abstract Function space topologies are developed for EC(Y,Z), the class of equi-continuous mappings from a topological space Y to a uniform space Z. Properties such as splittingness, admissibility etc. are defined for such spaces. The net theoretic investigations are carried out to provide characterizations of splittingness and admissibility of function spaces on EC(Y,Z). The open-entourage topology and pointtransitive-entourage topology are shown to be admissible and splitting respectively. Dual topologies are defined. A topology on EC(Y,Z) is found to be admissible (resp. splitting) if and only if its dual is so.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.2 20212021-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200335en10.22199/issn.0717-6279-2021-02-0020
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Topology Uniform space Function spaces Equi-continuous mappings Net convergence.
spellingShingle	Topology Uniform space Function spaces Equi-continuous mappings Net convergence. Gupta,Ankit Sarma,Ratna Dev A study of topological structures on equi-continuous mappings
description	Abstract Function space topologies are developed for EC(Y,Z), the class of equi-continuous mappings from a topological space Y to a uniform space Z. Properties such as splittingness, admissibility etc. are defined for such spaces. The net theoretic investigations are carried out to provide characterizations of splittingness and admissibility of function spaces on EC(Y,Z). The open-entourage topology and pointtransitive-entourage topology are shown to be admissible and splitting respectively. Dual topologies are defined. A topology on EC(Y,Z) is found to be admissible (resp. splitting) if and only if its dual is so.
author	Gupta,Ankit Sarma,Ratna Dev
author_facet	Gupta,Ankit Sarma,Ratna Dev
author_sort	Gupta,Ankit
title	A study of topological structures on equi-continuous mappings
title_short	A study of topological structures on equi-continuous mappings
title_full	A study of topological structures on equi-continuous mappings
title_fullStr	A study of topological structures on equi-continuous mappings
title_full_unstemmed	A study of topological structures on equi-continuous mappings
title_sort	study of topological structures on equi-continuous mappings
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2021
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200335
work_keys_str_mv	AT guptaankit astudyoftopologicalstructuresonequicontinuousmappings AT sarmaratnadev astudyoftopologicalstructuresonequicontinuousmappings AT guptaankit studyoftopologicalstructuresonequicontinuousmappings AT sarmaratnadev studyoftopologicalstructuresonequicontinuousmappings
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A study of topological structures on equi-continuous mappings

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