We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
The choice of cofibrations of higher dimensional transition systems.
- Authors
Gaucher, Philippe
- Abstract
It is proved that there exists a left determined model structure of weak transition systems with respect to the class of monomorphisms and that it restricts to left determined model structures on cubical and regular transition systems. Then it is proved that, in these three model structures, for any higher dimensional transition system containing at least one transition, the fibrant replacement contains a transition between each pair of states. This means that the fibrant replacement functor does not preserve the causal structure. As a conclusion, we explain why working with star-shaped transition systems is a solution to this problem.
- Subjects
HOMOTOPY theory; TOPOLOGICAL spaces; MODEL categories (Mathematics); HOMOLOGICAL algebra; FUNCTIONAL analysis
- Publication
New York Journal of Mathematics, 2015, Vol 21, p1117
- ISSN
1076-9803
- Publication type
Article