Geodesic
Homotopy cartesian diagrams in $n$-angulated categories
Homology, homotopy, and applications, Tome 21 (2019) no. 2, pp. 377-394.

Voir la notice de l'article provenant de la source International Press of Boston

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 paper we use homotopy cartesian diagrams to give several new equivalent statements of the higher mapping cone axiom. As an application we give a new and elementary proof of the fact that the stable category of a Frobenius $(n-2)$-exact category is an $n$-angulated category, which was first proved by Jasso.
DOI : 10.4310/HHA.2019.v21.n2.a21
Classification : 18E10, 18E30
Keywords: $n$-angulated category, homotopy cartesian, mapping cone axiom, Frobenius $n$-exact category 
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     title = {Homotopy cartesian diagrams in $n$-angulated categories},
     journal = {Homology, homotopy, and applications},
     pages = {377--394},
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     number = {2},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2019.v21.n2.a21/}
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Zengqiang Lin; Yan Zheng. Homotopy cartesian diagrams in $n$-angulated categories. Homology, homotopy, and applications, Tome 21 (2019) no. 2, pp. 377-394. doi : 10.4310/HHA.2019.v21.n2.a21. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2019.v21.n2.a21/

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