A sufficient criterion for homotopy cartesianess

Mathematics – K-Theory and Homology

Scientific paper

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Scientific paper

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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