Homotopy cartesian diagrams in n-angulated categories
Representation Theory
2016-12-30 v1 Category Theory
Abstract
It has been proved by Bergh and Thaule that the higher mapping cone axiom is equivalent to the higher octahedral axiom for n-angulated categories. In this note, we use homotopy cartesian diagrams to give several new equivalent statements of the higher mapping cone axiom, which are applied to explain the higher octahedral axiom.
Keywords
Cite
@article{arxiv.1612.08903,
title = {Homotopy cartesian diagrams in n-angulated categories},
author = {Zengqiang Lin and Yan Zheng},
journal= {arXiv preprint arXiv:1612.08903},
year = {2016}
}
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