New results regarding the lattice of uniform topologies on C(X)

[EN] For a Tychonoff space X, the lattice UX  was introduced in L. A. Pérez-Morales, G. Delgadillo-Piñón, and R. Pichardo-Mendoza, The lattice of uniform topologies on C(X), Questions and Answers in General Topology  39 (2021), 65-71. In the present paper we continue the study of UX. To be specific,...

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Detalhes bibliográficos
Autores: Pichardo-Mendoza, Roberto, Ríos-Herrejón, Alejandro
Formato: artículo
Fecha de publicación:2023
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/193027
Acesso em linha:https://riunet.upv.es/handle/10251/193027
Access Level:acceso abierto
Palavra-chave:Lattice of uniform topologies
Tychonoff spaces
Order-isomorphisms
Cardinal characteristics
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spelling New results regarding the lattice of uniform topologies on C(X)Pichardo-Mendoza, RobertoRíos-Herrejón, AlejandroLattice of uniform topologiesTychonoff spacesOrder-isomorphismsCardinal characteristics[EN] For a Tychonoff space X, the lattice UX  was introduced in L. A. Pérez-Morales, G. Delgadillo-Piñón, and R. Pichardo-Mendoza, The lattice of uniform topologies on C(X), Questions and Answers in General Topology  39 (2021), 65-71. In the present paper we continue the study of UX. To be specific, the present paper deals, in its first half, with structural and categorical properties of UX, while in its second part focuses on cardinal characteristics of the lattice and how these relate to some cardinal functions of the space X.The research of the second author was supported by CONACyT grant no. 814282.Universitat Politècnica de ValènciaConsejo Nacional de Ciencia y Tecnología, MéxicoRepositorio Institucional de la Universitat Politècnica de València Riunet20232023-04-05journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/193027reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengCONACyT CONACyTopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1930272026-06-13T07:49:27Z
dc.title.none.fl_str_mv New results regarding the lattice of uniform topologies on C(X)
title New results regarding the lattice of uniform topologies on C(X)
spellingShingle New results regarding the lattice of uniform topologies on C(X)
Pichardo-Mendoza, Roberto
Lattice of uniform topologies
Tychonoff spaces
Order-isomorphisms
Cardinal characteristics
title_short New results regarding the lattice of uniform topologies on C(X)
title_full New results regarding the lattice of uniform topologies on C(X)
title_fullStr New results regarding the lattice of uniform topologies on C(X)
title_full_unstemmed New results regarding the lattice of uniform topologies on C(X)
title_sort New results regarding the lattice of uniform topologies on C(X)
dc.creator.none.fl_str_mv Pichardo-Mendoza, Roberto
Ríos-Herrejón, Alejandro
author Pichardo-Mendoza, Roberto
author_facet Pichardo-Mendoza, Roberto
Ríos-Herrejón, Alejandro
author_role author
author2 Ríos-Herrejón, Alejandro
author2_role author
dc.contributor.none.fl_str_mv Consejo Nacional de Ciencia y Tecnología, México
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Lattice of uniform topologies
Tychonoff spaces
Order-isomorphisms
Cardinal characteristics
topic Lattice of uniform topologies
Tychonoff spaces
Order-isomorphisms
Cardinal characteristics
description [EN] For a Tychonoff space X, the lattice UX  was introduced in L. A. Pérez-Morales, G. Delgadillo-Piñón, and R. Pichardo-Mendoza, The lattice of uniform topologies on C(X), Questions and Answers in General Topology  39 (2021), 65-71. In the present paper we continue the study of UX. To be specific, the present paper deals, in its first half, with structural and categorical properties of UX, while in its second part focuses on cardinal characteristics of the lattice and how these relate to some cardinal functions of the space X.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-04-05
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/193027
url https://riunet.upv.es/handle/10251/193027
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv CONACyT CONACyT
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de València
publisher.none.fl_str_mv Universitat Politècnica de València
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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