Nonisomorphic Verdier octahedra on the same base Matthias Künzer
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چکیده
We show by an example that in a Verdier triangulated category, there may exist two mutually nonisomorphic Verdier octahedra containing the same commutative triangle.
منابع مشابه
Verdier octahedra on the same base Matthias Künzer
We show by an example that in a Verdier triangulated category, there may exist two mutually nonisomorphic Verdier octahedra containing the same commutative triangle.
متن کاملVerdier octahedra on the same base
We show by an example that in a Verdier triangulated category, there may exist two mutually nonisomorphic Verdier octahedra containing the same commutative triangle.
متن کاملNonisomorphic Verdier Octahedra on the Same Base
0 Introduction 7 0.1 Is being a 3-triangle characterised by 2-triangles? . . . . . . . . . . . . . . . . . . . 7 0.2 Is being an n-triangle characterised by (n− 1)-triangles? . . . . . . . . . . . . . . . 8 0.3 An appendix on transport of structure . . . . . . . . . . . . . . . . . . . . . . . . . 9 0.4 Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 ...
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Let E be a Frobenius category. Let E denote its stable category. The shift functor on E induces, by pointwise application, an inner shift functor on the category of acyclic complexes with entries in E . Shifting a complex by 3 positions yields an outer shift functor on this category. Passing to the quotient modulo split acyclic complexes, Heller remarked that inner and outer shift become isomor...
متن کامل2 9 A ug 2 00 5 A definition of triangulated categories following Heller Matthias
Let E be a Frobenius category, let E denote its homotopy category. The shift functor on E induces a first shift functor on the category of acyclic complexes with entries in E by pointwise application. Shifting a complex by 3 positions yields a second shift functor on this category. Passing to the quotient modulo split acyclic complexes, Heller remarked that these two shift functors become isomo...
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تاریخ انتشار 2009