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arxiv: 1506.00887 · v2 · pith:IMWX7V2Knew · submitted 2015-06-02 · 🧮 math.CT · math.AG· math.AT· math.KT· math.RT

Pre-triangulated categories are triangulated

classification 🧮 math.CT math.AGmath.ATmath.KTmath.RT
keywords categorieslemmapre-triangulatedadditiveaxiomcategoryconverseexact
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We prove a stronger version of the octahedral axiom in a pre-triangulated category. The proof uses a new lemma about exact sequences in pointed additive categories which is based on a weak converse of the snake lemma.

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