Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/11175
Título: | Relative directed homotopy theory of partially ordered spaces |
Autor(es): | Kahl, Thomas |
Palavras-chave: | Partially ordered spaces Directed homotopy theory Concurrency Closed model category |
Data: | 23-Mai-2006 |
Editora: | Tbilisi Centre for Mathematical Sciences |
Revista: | Journal of Homotopy and Related Structures |
Citação: | "Journal of Homotopy and Related Structures". ISSN 1512-2891. 1:1 (May 2006) 79-100. |
Resumo(s): | 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. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/11175 |
ISSN: | 1512-2891 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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reldi1.pdf | Documento principal | 284,52 kB | Adobe PDF | Ver/Abrir |