Relative directed homotopy theory of partially ordered spaces
Autor(a) principal: | |
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Data de Publicação: | 2006 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/1822/11175 |
Resumo: | Algebraic topological methods have been used successfully in concurrency theory, the domain of theoretical computer science that deals with parallel computing. L. Fajstrup, E. Goubault, and M. Raussen have introduced partially ordered spaces (pospaces) as a model for concurrent systems. In this paper it is shown that the category of pospaces under a fixed pospace is both a fibration and a cofibration category in the sense of H. Baues. The homotopy notion in this fibration and cofibration category is relative directed homotopy. It is also shown that the category of pospaces is a closed model cate- gory such that the homotopy notion is directed homotopy. |
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Relative directed homotopy theory of partially ordered spacesPartially ordered spacesDirected homotopy theoryConcurrencyClosed model categoryScience & TechnologyAlgebraic topological methods have been used successfully in concurrency theory, the domain of theoretical computer science that deals with parallel computing. L. Fajstrup, E. Goubault, and M. Raussen have introduced partially ordered spaces (pospaces) as a model for concurrent systems. In this paper it is shown that the category of pospaces under a fixed pospace is both a fibration and a cofibration category in the sense of H. Baues. The homotopy notion in this fibration and cofibration category is relative directed homotopy. It is also shown that the category of pospaces is a closed model cate- gory such that the homotopy notion is directed homotopy.Tbilisi Centre for Mathematical SciencesUniversidade do MinhoKahl, Thomas2006-05-232006-05-23T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/11175eng"Journal of Homotopy and Related Structures". ISSN 1512-2891. 1:1 (May 2006) 79-100.1512-2891info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:25:59Zoai:repositorium.sdum.uminho.pt:1822/11175Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:20:18.524229Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Relative directed homotopy theory of partially ordered spaces |
title |
Relative directed homotopy theory of partially ordered spaces |
spellingShingle |
Relative directed homotopy theory of partially ordered spaces Kahl, Thomas Partially ordered spaces Directed homotopy theory Concurrency Closed model category Science & Technology |
title_short |
Relative directed homotopy theory of partially ordered spaces |
title_full |
Relative directed homotopy theory of partially ordered spaces |
title_fullStr |
Relative directed homotopy theory of partially ordered spaces |
title_full_unstemmed |
Relative directed homotopy theory of partially ordered spaces |
title_sort |
Relative directed homotopy theory of partially ordered spaces |
author |
Kahl, Thomas |
author_facet |
Kahl, Thomas |
author_role |
author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Kahl, Thomas |
dc.subject.por.fl_str_mv |
Partially ordered spaces Directed homotopy theory Concurrency Closed model category Science & Technology |
topic |
Partially ordered spaces Directed homotopy theory Concurrency Closed model category Science & Technology |
description |
Algebraic topological methods have been used successfully in concurrency theory, the domain of theoretical computer science that deals with parallel computing. L. Fajstrup, E. Goubault, and M. Raussen have introduced partially ordered spaces (pospaces) as a model for concurrent systems. In this paper it is shown that the category of pospaces under a fixed pospace is both a fibration and a cofibration category in the sense of H. Baues. The homotopy notion in this fibration and cofibration category is relative directed homotopy. It is also shown that the category of pospaces is a closed model cate- gory such that the homotopy notion is directed homotopy. |
publishDate |
2006 |
dc.date.none.fl_str_mv |
2006-05-23 2006-05-23T00:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/1822/11175 |
url |
http://hdl.handle.net/1822/11175 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
"Journal of Homotopy and Related Structures". ISSN 1512-2891. 1:1 (May 2006) 79-100. 1512-2891 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Tbilisi Centre for Mathematical Sciences |
publisher.none.fl_str_mv |
Tbilisi Centre for Mathematical Sciences |
dc.source.none.fl_str_mv |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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