Geodesic
On the homology of small categories and asynchronous transition systems
Homology, homotopy, and applications, Tome 6 (2004) no. 1, pp. 439-471.

Voir la notice de l'article provenant de la source International Press of Boston

This work is devoted to an interpretation and computation of the first homology groups of the small category given by a rewriting system. It is shown that the elements of the first homology group may be regarded as the equivalence classes of the flows in a graph of the rewriting system. This is applied to calculating the homology groups of asynchronous transition systems and Petri nets. Examples of calculations are given.
DOI : 10.4310/HHA.2004.v6.n1.a22
Classification : 18G10, 55Uxx, 68M14, 68Q85
Keywords: homology of categories, category of asynchronous systems, category of Petri nets 
@article{HHA_2004_6_1_a21,
     author = {Ahmet A. Husainov},
     title = {On the homology of small categories and asynchronous transition systems},
     journal = {Homology, homotopy, and applications},
     pages = {439--471},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {2004},
     doi = {10.4310/HHA.2004.v6.n1.a22},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2004.v6.n1.a22/}
}
TY  - JOUR
AU  - Ahmet A. Husainov
TI  - On the homology of small categories and asynchronous transition systems
JO  - Homology, homotopy, and applications
PY  - 2004
SP  - 439
EP  - 471
VL  - 6
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2004.v6.n1.a22/
DO  - 10.4310/HHA.2004.v6.n1.a22
LA  - en
ID  - HHA_2004_6_1_a21
ER  - 
%0 Journal Article
%A Ahmet A. Husainov
%T On the homology of small categories and asynchronous transition systems
%J Homology, homotopy, and applications
%D 2004
%P 439-471
%V 6
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2004.v6.n1.a22/
%R 10.4310/HHA.2004.v6.n1.a22
%G en
%F HHA_2004_6_1_a21
Ahmet A. Husainov. On the homology of small categories and asynchronous transition systems. Homology, homotopy, and applications, Tome 6 (2004) no. 1, pp. 439-471. doi : 10.4310/HHA.2004.v6.n1.a22. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2004.v6.n1.a22/

Cité par Sources :