Crossconvergence: A new bounded topological presentation

[EN] We present crossconvergence, which commonly generalize bornology, preuniform convergence, orderconvergence, b-uniform filtration and grill-determined prenearness. The corresponding construct CCONV forms a strong topological universe, respectively quasitopos, in which quotients are stable under...

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Detalles Bibliográficos
Autores: Leseberg, Dieter, Vaziry, Zohreh
Tipo de recurso: artículo
Fecha de publicación:2026
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:dnet:riunet______::3d17fae123c4cd14b514373248c73272
Acceso en línea:https://riunet.upv.es/handle/10251/235894
Access Level:acceso abierto
Palabra clave:Continuity structures
Generalized continuity structures
Convenient topology
Bounded topology
Quasitopos
Strong topological universe
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spelling Crossconvergence: A new bounded topological presentationLeseberg, DieterVaziry, ZohrehContinuity structuresGeneralized continuity structuresConvenient topologyBounded topologyQuasitoposStrong topological universe[EN] We present crossconvergence, which commonly generalize bornology, preuniform convergence, orderconvergence, b-uniform filtration and grill-determined prenearness. The corresponding construct CCONV forms a strong topological universe, respectively quasitopos, in which quotients are stable under arbitrary products. We also discuss its enlargement to semicrossconvergence and precrossconvergence, respectively.Universitat Politècnica de ValènciaRepositorio Institucional de la Universitat Politècnica de València Riunet20262026-06-05journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdftext/htmlhttps://riunet.upv.es/handle/10251/235894reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Compartir igual (by-nc-sa) http://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccessoai:dnet:riunet______::3d17fae123c4cd14b514373248c732722026-06-13T07:49:27Z
dc.title.none.fl_str_mv Crossconvergence: A new bounded topological presentation
title Crossconvergence: A new bounded topological presentation
spellingShingle Crossconvergence: A new bounded topological presentation
Leseberg, Dieter
Continuity structures
Generalized continuity structures
Convenient topology
Bounded topology
Quasitopos
Strong topological universe
title_short Crossconvergence: A new bounded topological presentation
title_full Crossconvergence: A new bounded topological presentation
title_fullStr Crossconvergence: A new bounded topological presentation
title_full_unstemmed Crossconvergence: A new bounded topological presentation
title_sort Crossconvergence: A new bounded topological presentation
dc.creator.none.fl_str_mv Leseberg, Dieter
Vaziry, Zohreh
author Leseberg, Dieter
author_facet Leseberg, Dieter
Vaziry, Zohreh
author_role author
author2 Vaziry, Zohreh
author2_role author
dc.contributor.none.fl_str_mv Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Continuity structures
Generalized continuity structures
Convenient topology
Bounded topology
Quasitopos
Strong topological universe
topic Continuity structures
Generalized continuity structures
Convenient topology
Bounded topology
Quasitopos
Strong topological universe
description [EN] We present crossconvergence, which commonly generalize bornology, preuniform convergence, orderconvergence, b-uniform filtration and grill-determined prenearness. The corresponding construct CCONV forms a strong topological universe, respectively quasitopos, in which quotients are stable under arbitrary products. We also discuss its enlargement to semicrossconvergence and precrossconvergence, respectively.
publishDate 2026
dc.date.none.fl_str_mv 2026
2026-06-05
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/10251/235894
url https://riunet.upv.es/handle/10251/235894
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Compartir igual (by-nc-sa)
http://creativecommons.org/licenses/by-nc-sa/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 - Compartir igual (by-nc-sa)
http://creativecommons.org/licenses/by-nc-sa/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
text/html
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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