Geodesic
Generation time for biexact functors and Koszul objects in triangulated categories
Documenta mathematica, Tome 30 (2025) no. 2, pp. 379-415

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This paper concerns the generation time that measures the number of cones necessary to obtain an object in a triangulated category from another object. This invariant is called level. We establish level inequalities for enhanced triangulated categories: One inequality concerns biexact functors of topological triangulated categories, another Koszul objects. In particular, this extends inequalities for the derived tensor product from commutative algebra to enhanced tensor triangulated categories. We include many examples.
DOI : 10.4171/dm/1000
Classification : 18G80, 55U35
Mots-clés : biexact functor, triangulated category, Verdier structure, Koszul object, cofibration category 
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     title = {Generation time for biexact functors and {Koszul} objects in triangulated categories},
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Janina C. Letz; Marc Stephan. Generation time for biexact functors and Koszul objects in triangulated categories. Documenta mathematica, Tome 30 (2025) no. 2, pp. 379-415. doi: 10.4171/dm/1000

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