The axioms for n-angulated categories

Details The axioms for n-angulated categories The axioms for n-angulated categories

2011-12-12

arxiv.org/abs/1112.2533v2

Mathematics

Category Theory

17 pages, added a section, updated references

Scientific paper

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.

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