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In this paper we show how collapsing schemes can give us information on the homotopy type of the classifying space of a small category, when this category is presented by a complete rewrite system.
@article{TAC_2001_9_a4, author = {Maurizio G. Citterio}, title = {Classifying spaces of categories and term rewriting}, journal = {Theory and applications of categories}, pages = {92--105}, publisher = {mathdoc}, volume = {9}, year = {2001}, language = {en}, url = {http://geodesic.mathdoc.fr/item/TAC_2001_9_a4/} }
Maurizio G. Citterio. Classifying spaces of categories and term rewriting. Theory and applications of categories, CT2000, Tome 9 (2001), pp. 92-105. http://geodesic.mathdoc.fr/item/TAC_2001_9_a4/