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- W2809375991 abstract "Flows are a topological model of concurrency which enables to encode the notion of refinement of observation and to understand the homological properties of branchings and mergings of execution paths. Roughly speaking, they are Grandis' $d$-spaces without an underlying topological space. They just have an underlying homotopy type. This note is twofold. First, we give a new construction of the model category structure of flows which is more conceptual thanks to Isaev's results. It avoids the use of difficult topological arguments. Secondly, we prove that this model category is left determined by adapting an argument due to Olschok. The introduction contains some speculations about what we expect to find out by localizing this minimal model category structure. Les flots sont un modele topologique de la concurrence qui permet d'encoder la notion de raffinement de l'observation et de comprendre les proprietes homologiques des branchements et des confluences des chemins d'execution. Intuitivement, ce sont des $d$-espaces au sens de Grandis sans espace topologique sous-jacent. Ils ont seulement un type d'homotopie sous-jacent. Cette note a deux objectifs. Premierement de donner une nouvelle construction de la categorie de modeles des flots plus conceptuelle grâce au travail d'Isaev. Cela permet d'eviter des arguments topologiques difficiles. Deuxiemement nous prouvons que cette categorie de modeles est determinee a gauche en adaptant un argument de Olschok. L'introduction contient quelques speculations sur ce qu'on s'attend a trouver en localisant cette categorie de modeles minimale." @default.
- W2809375991 created "2018-06-29" @default.
- W2809375991 creator A5076299516 @default.
- W2809375991 date "2018-11-12" @default.
- W2809375991 modified "2023-09-23" @default.
- W2809375991 title "Flows revisited: the model category structure and its left determinedness" @default.
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