PRESENTATIONS OF OMEGA-CATEGORIES BY DIRECTED COMPLEXES

Authors
CRANS SE STEINER R
Citation
Se. Crans et R. Steiner, PRESENTATIONS OF OMEGA-CATEGORIES BY DIRECTED COMPLEXES, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 63, 1997, pp. 47-77
Citations number
17
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
63
Year of publication
1997
Part
1
Pages
47 - 77
Database
ISI
SICI code
0263-6115(1997)63:<47:POOBDC>2.0.ZU;2-A
Abstract
The theory of directed complexes is extended from free omega-categorie s to arbitrary omega-categories by defining presentations in which the generators are atoms and the relations are equations between molecule s. Our main result relates these presentations to the more standard al gebraic presentations; we also show that every omega-category has a pr esentation by directed complexes. The approach is similar to that used by Crans for pasting presentations.