Geodesic
Combinatorics of past-similarity in higher dimensional transition systems
Theory and applications of categories, Tome 32 (2017), pp. 1107-1164.

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The key notion to understand the left determined Olschok model category of star-shaped Cattani-Sassone transition systems is past-similarity. Two states are past-similar if they have homotopic pasts. An object is fibrant if and only if the set of transitions is closed under past-similarity. A map is a weak equivalence if and only if it induces an isomorphism after the identification of all past-similar states. The last part of this paper is a discussion about the link between causality and homotopy.
Publié le :
Classification : 18C35, 55U35, 18G55, 68Q85
Keywords: left determined model category, combinatorial model category, discrete model structure, higher dimensional transition system, causal structure, bisimulation 
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     author = {Philippe Gaucher},
     title = {Combinatorics of past-similarity in higher dimensional transition systems},
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     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2017_32_a32/}
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Philippe Gaucher. Combinatorics of past-similarity in higher dimensional transition systems. Theory and applications of categories, Tome 32 (2017), pp. 1107-1164. http://geodesic.mathdoc.fr/item/TAC_2017_32_a32/