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TitleRelative directed homotopy theory of partially ordered spaces
Author(s)Kahl, Thomas
KeywordsPartially ordered spaces
Directed homotopy theory
Closed model category
Issue date23-May-2006
PublisherTbilisi Centre for Mathematical Sciences
JournalJournal of Homotopy and Related Structures
Citation"Journal of Homotopy and Related Structures". ISSN 1512-2891. 1:1 (May 2006) 79-100.
Abstract(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.
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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