Relative directed homotopy theory of partially ordered spaces

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dc.creatorKahl, Thomas
dc.date2006-01-04
dc.date.accessioned2026-07-07T06:58:32Z
dc.date.available2026-07-07T06:58:32Z
dc.descriptionAlgebraic topological methods have been used successfully in concurrency theory, the domain of theoretical computer science that deals with distributed 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 category such that the homotopy notion is directed homotopy.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0601079
dc.identifierhttp://arxiv.org/abs/math/0601079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107393
dc.subjectAlgebraic Topology
dc.subject54F05, 55P99, 55U35, 68Q85
dc.titleRelative directed homotopy theory of partially ordered spaces
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