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Presentations of omega-categories by directed complexes

Part of: Categories with structure

Published online by Cambridge University Press:  09 April 2009

Sjoerd E. Crans  and
Richard Steiner
Sjoerd E. Crans
Affiliation:
School of Mathematics and Statistics University of SydneyNSW 2006, Australia
Richard Steiner
Affiliation:
Department of Mathematics University of Glasgow University Gardens, GlasgowGreat BritainG12 8QW e-mail: [email protected]
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Abstract

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The theory of directed complexes is extended from free ω-categories by defining presentations in which the generators are atoms and the relations are equations between molecules. Our main result relates these presentations to the more standard algebraic presentations; we also show that every ω-category has a presentation by directed complexes. The approach is similar to that used by Crans for pasting presentations.

MSC classification

Secondary: 18D05: Double categories, $2$-categories, bicategories and generalizations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 63 , Issue 1 , August 1997 , pp. 47 - 77
Copyright
Copyright © Australian Mathematical Society 1997

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