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A Sufficient Criterion for Homotopy Cartesianess

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Abstract

Suppose given a commutative quadrangle in a Verdier triangulated category such that there exists an induced isomorphism on the horizontally taken cones. Suppose that the endomorphism ring of the initial or the terminal corner object of this quadrangle satisfies a finiteness condition. Then this quadrangle is homotopy cartesian.

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References

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Authors and Affiliations

  1. Dipartimento di matematica F. Casorati, Università degli studi di Pavia, Via Ferrata, 1, 27100, Pavia, Italy

    Alberto Canonaco

  2. Lehrstuhl D für Mathematik, RWTH Aachen, Templergraben 64, 52062, Aachen, Germany

    Matthias Künzer

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  1. Alberto Canonaco
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  2. Matthias Künzer
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Correspondence to Matthias Künzer.

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Canonaco, A., Künzer, M. A Sufficient Criterion for Homotopy Cartesianess. Appl Categor Struct 19, 651–658 (2011). https://doi.org/10.1007/s10485-009-9197-0

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  • DOI: https://doi.org/10.1007/s10485-009-9197-0

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