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 |
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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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