Now showing items 1-10 of 5247
Topics in algebraic and topological K-theory
This volume is an introductory textbook to K-theory, both algebraic and topological, and to various current research topics within the field, including Kasparov's bivariant K-theory, the Baum-Connes conjecture, the comparison ...
On the K-theory of Z-categories
We relate the notions of Noetherian, regular coherent and regular n-coherent category for Z-linear categories with finite objects with the corresponding notions for unital rings. We use this relation to obtain a vanishing ...
On the Classification of Almost Square-Free Modular Categories
Let (Formula presented.) be a modular category of Frobenius-Perron dimension dqn, where q > 2 is a prime number and d is a square-free integer. We show that (Formula presented.) must be integral and nilpotent and therefore ...
Universal coefficient theorem in triangulated categories
(Springer Verlag Berlín, 2008-04)
We consider a homology theory Open image in new window on a triangulated category Open image in new window with values in an abelian category Open image in new window . If the functor h reflects isomorphisms, is full and ...
Group actions on 2-categories
We study actions of discrete groups on 2-categories. The motivating examples are actions on the 2-category of representations of finite tensor categories and their relation with the extension theory of tensor categories ...
(Co)ends for representations of tensor categories
(Mount Allison University, 2021-08)
We generalize the notion of ends and coends in category theory to the realm of module categories over finite tensor categories. We call this new concept module (co)end. This tool allows us to give different proofs to several ...
Every rig with a one-variable fixed point presentation is the burnside rig of a prextensive category
We extend the work of Schanuel, Lawvere, Blass and Gates in Objective Number Theory by proving that, for any L(X) ∈ N[X], the rig N[X]/(X = L(X)) is the Burnside rig of a prextensive category.
Abductive Spaces: Modeling Concept Framework Revision with Category Theory
A formal model of abductive inference is provided in which abduction is conceived as expansive and contractive movements through a topological space of theoretical and practical commitments. A pair of presheaves over the ...
A Tannakian context for Galois theory
Strong similarities have been long observed between the Galois (Categories Galoisiennes) and the Tannaka (Categories Tannakiennes) theories of representation of groups. In this paper we construct an explicit (neutral) ...