Topological Spaces as Pseudo-Distance Spaces

    In this paper we provide a generalized definition of distance and show that, with this definition, any topological space can be generated by (distance derived) neighborhoods in exactly the same manner as metric topologies.  

Autores:
Tipo de recurso:
Fecha de publicación:
1992
Institución:
Universidad Industrial de Santander
Repositorio:
Repositorio UIS
Idioma:
spa
OAI Identifier:
oai:noesis.uis.edu.co:20.500.14071/7173
Acceso en línea:
https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/1040
https://noesis.uis.edu.co/handle/20.500.14071/7173
Palabra clave:
Rights
openAccess
License
Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
id UISANTADR2_a5c76cae74dcf120d296cfb633a80e43
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network_acronym_str UISANTADR2
network_name_str Repositorio UIS
repository_id_str
spelling Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)http://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessAtribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)1992-06-172022-03-14T20:23:13Z2022-03-14T20:23:13Zhttps://revistas.uis.edu.co/index.php/revistaintegracion/article/view/1040https://noesis.uis.edu.co/handle/20.500.14071/7173    In this paper we provide a generalized definition of distance and show that, with this definition, any topological space can be generated by (distance derived) neighborhoods in exactly the same manner as metric topologies.  application/pdfspaUniversidad Industrial de Santanderhttps://revistas.uis.edu.co/index.php/revistaintegracion/article/view/1040/1419Revista integración, temas de matemáticas; Vol. 10 Núm. 1 (1992): Revista Integración, temas de matemáticas; 41-65REVISTA INTEGRACIÓN; v. 10 n. 1 (1992): Revista Integración, temas de matemáticas; 41-652145-84720120-419XTopological Spaces as Pseudo-Distance Spacesinfo:eu-repo/semantics/articlehttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1Cuevas, LauraHajek, DarrelPerlis, DonaldoWilson, Richard20.500.14071/7173oai:noesis.uis.edu.co:20.500.14071/71732022-03-16 12:39:55.98metadata.onlyhttps://noesis.uis.edu.coDSpace at UISnoesis@uis.edu.co
dc.title.es-ES.fl_str_mv Topological Spaces as Pseudo-Distance Spaces
title Topological Spaces as Pseudo-Distance Spaces
spellingShingle Topological Spaces as Pseudo-Distance Spaces
title_short Topological Spaces as Pseudo-Distance Spaces
title_full Topological Spaces as Pseudo-Distance Spaces
title_fullStr Topological Spaces as Pseudo-Distance Spaces
title_full_unstemmed Topological Spaces as Pseudo-Distance Spaces
title_sort Topological Spaces as Pseudo-Distance Spaces
description     In this paper we provide a generalized definition of distance and show that, with this definition, any topological space can be generated by (distance derived) neighborhoods in exactly the same manner as metric topologies.  
publishDate 1992
dc.date.accessioned.none.fl_str_mv 2022-03-14T20:23:13Z
dc.date.available.none.fl_str_mv 2022-03-14T20:23:13Z
dc.date.none.fl_str_mv 1992-06-17
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.identifier.none.fl_str_mv https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/1040
dc.identifier.uri.none.fl_str_mv https://noesis.uis.edu.co/handle/20.500.14071/7173
url https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/1040
https://noesis.uis.edu.co/handle/20.500.14071/7173
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/1040/1419
dc.rights.license.none.fl_str_mv Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
dc.rights.coar.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.accessrights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.creativecommons.none.fl_str_mv Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
rights_invalid_str_mv Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
http://purl.org/coar/access_right/c_abf2
Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.es-ES.fl_str_mv Universidad Industrial de Santander
dc.source.es-ES.fl_str_mv Revista integración, temas de matemáticas; Vol. 10 Núm. 1 (1992): Revista Integración, temas de matemáticas; 41-65
dc.source.pt-BR.fl_str_mv REVISTA INTEGRACIÓN; v. 10 n. 1 (1992): Revista Integración, temas de matemáticas; 41-65
dc.source.none.fl_str_mv 2145-8472
0120-419X
institution Universidad Industrial de Santander
repository.name.fl_str_mv DSpace at UIS
repository.mail.fl_str_mv noesis@uis.edu.co
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