We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
PATH CATEGORIES AND RESOLUTIONS.
- Authors
JARDINE, J. F.
- Abstract
Path categories are defined, and their basic properties are described, for simplicial and cubical sets. A calculational method for describing the path category P(K) of a finite oriented simplicial complex K is introduced, which involves a finite 2-category which can be specified by generators and relations. This method specializes to higher dimensional automata via the triangulation functor from cubical to simplicial sets, and leads to calculations of their associated execution paths.
- Subjects
FREE resolutions (Algebra); CATEGORIES (Mathematics); SET theory; MATHEMATICAL complexes; MODULES (Algebra); K-theory
- Publication
Homology, Homotopy & Applications, 2010, Vol 12, Issue 2, p231
- ISSN
1532-0073
- Publication type
Article
- DOI
10.4310/HHA.2010.v12.n2.a8