The Cubical Homology of Trace Monoids
Algebraic Topology
2011-10-31 v1 Multiagent Systems
K-Theory and Homology
Abstract
This article contains an overview of the results of the author in a field of algebraic topology used in computer science. The relationship between the cubical homology groups of generalized tori and homology groups of partial trace monoid actions is described. Algorithms for computing the homology groups of asynchronous systems, Petri nets, and Mazurkiewicz trace languages are shown.
Keywords
Cite
@article{arxiv.1110.6293,
title = {The Cubical Homology of Trace Monoids},
author = {Ahmet A. Husainov},
journal= {arXiv preprint arXiv:1110.6293},
year = {2011}
}
Comments
21 pages, International Conference "Toric Topology and Automorphic Functions'' September 05-10, 2011 Khabarovsk