On the triviality of flows in Alexandroff spaces

We prove that the unique possible flow in an Alexandroff T0-space is the trivial one. On the way of motivation, we relate Alexandroff spaces with topological hyperspaces.

Detalles Bibliográficos
Autores: Chocano Feito, Pedro José, Alonso Morón, Manuel, Romero Ruiz Del Portal, Francisco
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/71926
Acceso en línea:https://hdl.handle.net/20.500.14352/71926
Access Level:acceso abierto
Palabra clave:515.1
Dynamical Systems
Combinatorics
General Topology
Matemáticas (Matemáticas)
Topología
12 Matemáticas
1210 Topología
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spelling On the triviality of flows in Alexandroff spacesChocano Feito, Pedro JoséAlonso Morón, ManuelRomero Ruiz Del Portal, Francisco515.1Dynamical SystemsCombinatoricsGeneral TopologyMatemáticas (Matemáticas)Topología12 Matemáticas1210 TopologíaWe prove that the unique possible flow in an Alexandroff T0-space is the trivial one. On the way of motivation, we relate Alexandroff spaces with topological hyperspaces.Universidad Complutense de Madrid20222022-01-0120222022-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/71926reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/719262026-06-02T12:44:21Z
dc.title.none.fl_str_mv On the triviality of flows in Alexandroff spaces
title On the triviality of flows in Alexandroff spaces
spellingShingle On the triviality of flows in Alexandroff spaces
Chocano Feito, Pedro José
515.1
Dynamical Systems
Combinatorics
General Topology
Matemáticas (Matemáticas)
Topología
12 Matemáticas
1210 Topología
title_short On the triviality of flows in Alexandroff spaces
title_full On the triviality of flows in Alexandroff spaces
title_fullStr On the triviality of flows in Alexandroff spaces
title_full_unstemmed On the triviality of flows in Alexandroff spaces
title_sort On the triviality of flows in Alexandroff spaces
dc.creator.none.fl_str_mv Chocano Feito, Pedro José
Alonso Morón, Manuel
Romero Ruiz Del Portal, Francisco
author Chocano Feito, Pedro José
author_facet Chocano Feito, Pedro José
Alonso Morón, Manuel
Romero Ruiz Del Portal, Francisco
author_role author
author2 Alonso Morón, Manuel
Romero Ruiz Del Portal, Francisco
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 515.1
Dynamical Systems
Combinatorics
General Topology
Matemáticas (Matemáticas)
Topología
12 Matemáticas
1210 Topología
topic 515.1
Dynamical Systems
Combinatorics
General Topology
Matemáticas (Matemáticas)
Topología
12 Matemáticas
1210 Topología
description We prove that the unique possible flow in an Alexandroff T0-space is the trivial one. On the way of motivation, we relate Alexandroff spaces with topological hyperspaces.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-01-01
2022
2022-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/71926
url https://hdl.handle.net/20.500.14352/71926
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
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
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719