A study of topological structures on equi-continuous mappings
A UN ESTUDIO DE ESTRUCTURAS TOPOLÓGICAS EN MAPEOS EQUI-CONTINUOS
| dc.creator | Gupta, Ankit | |
| dc.creator | Sarma, Ratna Dev | |
| dc.date | 2021-02-16 | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3914 | |
| dc.identifier | 10.22199/issn.0717-6279-2021-02-0020 | |
| dc.description | 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. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | en-US |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3914/3688 | |
| dc.rights | Copyright (c) 2021 Ankit Gupta, Ratna Dev Sarma | en-US |
| dc.rights | http://creativecommons.org/licenses/by/4.0 | en-US |
| dc.source | Proyecciones (Antofagasta, On line); Vol. 40 No. 2 (2021); 335-354 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 40 Núm. 2 (2021); 335-354 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 10.22199/issn.0717-6279-2021-02 | |
| dc.subject | Topology | en-US |
| dc.subject | Uniform space | en-US |
| dc.subject | Function spaces | en-US |
| dc.subject | Equi-continuous mappings | en-US |
| dc.subject | 54C35 | en-US |
| dc.subject | 54A05 | en-US |
| dc.title | A study of topological structures on equi-continuous mappings | en-US |
| dc.title | A UN ESTUDIO DE ESTRUCTURAS TOPOLÓGICAS EN MAPEOS EQUI-CONTINUOS | es-ES |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Peer-reviewed Article | en-US |
| dc.type | text | en-US |
This item appears in the following Collection(s)
-
Proyecciones: Journal of Mathematics
\([0-9]{4}\)