Simple omega-categories and chain complexes

Steiner, R. (2007) Simple omega-categories and chain complexes. Homology, Homotopy and Applications, 9(1), pp. 451-465.

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Publisher's URL: http://intlpress.com/HHA/v9/n1/a18/v9n1a18.pdf

Abstract

The category of strict omega-categories has an important full subcategory whose objects are the simple omega-categories freely generated by planar trees or by globular cardinals. We give a simple description of this subcategory in terms of chain complexes, and we give a similar description of the opposite category, the category of finite discs, in terms of cochain complexes. Berger has shown that the category of simple omega-categories has a filtration by iterated wreath products of the simplex category. We generalise his result by considering wreath products of categories of chain complexes over the simplex category.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Steiner, Dr Richard
Authors: Steiner, R.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Homology, Homotopy and Applications
ISSN:1532-0073
ISSN (Online):1532-0081

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