Generation time for biexact functors and Koszul objects in triangulated categories

التفاصيل البيبلوغرافية
العنوان: Generation time for biexact functors and Koszul objects in triangulated categories
المؤلفون: Letz, Janina C., Stephan, Marc
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Category Theory, Mathematics - Algebraic Topology, 18G80 (primary), 55U35
الوصف: 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.
Comment: 32 pages, comments are welcome
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2403.00695
رقم الأكسشن: edsarx.2403.00695
قاعدة البيانات: arXiv