Combinatorics of past-similarity in higher dimensional transition systems
Category Theory
2017-08-31 v2 Algebraic Topology
Abstract
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.
Keywords
Cite
@article{arxiv.1607.07678,
title = {Combinatorics of past-similarity in higher dimensional transition systems},
author = {Philippe Gaucher},
journal= {arXiv preprint arXiv:1607.07678},
year = {2017}
}
Comments
LaTeX, 51 pages