The axioms for n-angulated categories
Category Theory
2014-10-01 v2 K-Theory and Homology
Abstract
We discuss the axioms for an n-angulated category, recently introduced by Geiss, Keller and Oppermann. In particular, we introduce a higher octahedral axiom, and show that it is equivalent to the mapping cone axiom for an n-angulated category. For a triangulated category, the mapping cone axiom, our octahedral axiom and the classical octahedral axiom are all equivalent.
Keywords
Cite
@article{arxiv.1112.2533,
title = {The axioms for n-angulated categories},
author = {Petter Andreas Bergh and Marius Thaule},
journal= {arXiv preprint arXiv:1112.2533},
year = {2014}
}
Comments
17 pages, added a section, updated references