Geodesic
Generation time for biexact functors and Koszul objects in triangulated categories
Janina C. Letz1 orcid ; Marc Stephan1 orcid
1Bielefeld University, Bielefeld, Germany
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

Janina C. Letz  1   ; Marc Stephan  1

1 Bielefeld University, Bielefeld, Germany 
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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