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The axioms for n–angulated categories
Bergh, Petter Andreas1 ; Thaule, Marius1
1Department of Mathematical Sciences, NTNU, NO-7491 Trondheim, Norway
Algebraic and Geometric Topology, Tome 13 (2013) no. 4, pp. 2405-2428
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We discuss the axioms for an n–angulated category, recently introduced by Geiss, Keller and Oppermann in [J. Reine Angew. Math. 675 (2013) 101–120]. 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.

DOI : 10.2140/agt.2013.13.2405
Classification : 18E30
Keywords: triangulated categories, $n$–angulated categories, octahedral axiom

Bergh, Petter Andreas  1   ; Thaule, Marius  1

1 Department of Mathematical Sciences, NTNU, NO-7491 Trondheim, Norway 
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Bergh, Petter Andreas; Thaule, Marius. The axioms for n–angulated categories. Algebraic and Geometric Topology, Tome 13 (2013) no. 4, pp. 2405-2428. doi: 10.2140/agt.2013.13.2405

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