A notion of resolution for higher-dimensional categories is defined, by using polygraphs, and basic invariance theorems are proved.
Keywords: $n$-category, polygraph, resolution, homotopy, homology
2000 MSC: 18D05
Theory and Applications of Categories
, Vol. 11, 2003,
No. 7, pp 148-184.
http://www.tac.mta.ca/tac/volumes/11/7/11-07.dvi
http://www.tac.mta.ca/tac/volumes/11/7/11-07.ps
http://www.tac.mta.ca/tac/volumes/11/7/11-07.pdf
ftp://ftp.tac.mta.ca/pub/tac/html/volumes/11/7/11-07.dvi
ftp://ftp.tac.mta.ca/pub/tac/html/volumes/11/7/11-07.ps