Classifying spaces of categories and term rewriting

Maurizio G. Citterio

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.

Keywords: Collapsing scheme, simplicial set, classifying space, rewrite system.

2000 MSC: 18G30, 55P15.

Theory and Applications of Categories, Vol. 9, 2001, No. 5, pp 92-105.

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