Tropical Duality in $$(d+2)$$-Angulated Categories
نویسندگان
چکیده
منابع مشابه
The axioms for n-angulated categories
Triangulated categories were introduced independently in algebraic geometry by Verdier [7, 8], based on ideas of Grothendieck, and in algebraic topology by Puppe [6]. These constructions have since played a crucial role in representation theory, algebraic geometry, commutative algebra, algebraic topology and other areas of mathematics (and even theoretical physics). Recently, Geiss, Keller and ...
متن کاملDuality in Waldhausen Categories
We develop a theory of Spanier–Whitehead duality in categories with cofibrations and weak equivalences (Waldhausen categories, for short). This includes L–theory, the involution on K–theory introduced by [Vo] in a special case, and a map Ξ relating L–theory to the Tate spectrum of Z/2 acting on K–theory. The map Ξ is a distillation of the long exact Rothenberg sequences [Sha], [Ra1], [Ra2], inc...
متن کاملExact Categories and Duality
Throughout the book Homological algebra, by H. Cartan and S. Eilenberg, the authors dealt with functors defined on categories of modules over certain rings and whose values again were modules over a ring. It will be shown in this paper that the theory may be generalized to functors defined on abstract categories, and whose values are again in such abstract categories. An abstract treatment such...
متن کاملDuality of Tropical Curves
Duality of curves is an important aspect of the “classical” algebraic geometry. In this paper, using this foundation, the duality of tropical polynomials is constructed to introduce the duality of Non-Archimedean curves. Using the development of an algebraic “mechanism”, based on “distortion” values, geometric and convexity properties are analyzed. Specifically, we discuss some significant aspe...
متن کاملProducts and Duality in Waldhausen Categories
The natural transformation Ξ from L–theory to the Tate cohomology of Z/2 acting on K–theory (constructed in [WW2] and [WWd]) commutes with external products. Corollary: The Tate cohomology of Z/2 acting on the K–theory of any ring with involution is a generalized Eilenberg–MacLane spectrum, and it is 4–periodic.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Categorical Structures
سال: 2021
ISSN: 0927-2852,1572-9095
DOI: 10.1007/s10485-020-09625-7