Steiner, R. (2012) Opetopes and chain complexes. Theory and Applications of Categories, 26(19), pp. 501-519.
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Publisher's URL: http://arxiv.org/abs/1204.6723
Abstract
We give a simple algebraic description of opetopes in terms of chain complexes, and we show how this description is related to combinatorial descriptions in terms of treelike structures. More generally, we show that the chain complexes associated to higher categories generate graphlike structures. The algebraic description gives a relationship between the opetopic approach and other approaches to higher category theory. It also gives an easy way to calculate the sources and targets of opetopes.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Steiner, Dr Richard |
| Authors: | Steiner, R. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Theory and Applications of Categories |
| ISSN: | 1201-561X |
| Published Online: | 30 April 2012 |
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