Results 41 to 50 of about 710,004 (69)

Topological and conformal field theory as Frobenius algebras

, 2005
Two-dimensional conformal field theory (CFT) can be defined through its correlation functions. These must satisfy certain consistency conditions which arise from the cutting of world sheets along circles or intervals. The construction of a (rational) CFT
Fjelstad, Jens, Fuchs, Jurgen, Runkel, Ingo, Schweigert, Christoph   +3 more
core   +1 more source

Path categories and quasi-categories [PDF]

arXiv, 2019
This paper gives an introduction to the homotopy theory of quasi-categories. Weak equivalences between quasi-categories are characterized as maps which induce equivalences on a naturally defined system of groupoids. These groupoids effectively replace higher homotopy groups in quasi-category homotopy theory.
arxiv  

Abelian categories and definable additive categories [PDF]

arXiv, 2012
We consider three (2-)categories and their (anti-)equivalence. They are the category of small abelian categories and exact functors, the category of definable additive categories and interpretation functors, the category of locally coherent abelian categories and coherent morphisms. These categories link algebra, model theory and "geometry".
arxiv  

Hilbertian Toposes Epsilon Toposes [PDF]

arXiv, 2016
We study Hilbert's epsilon calculus and Hilbert's partial epsilon calculus in toposes.
arxiv  

A Survey of Definitions of n-Category

, 2001
Many people have proposed definitions of `weak n-category'. Ten of them are presented here. Each definition is given in two pages, with a further two pages on what happens when n = 0, 1, or 2. The definitions can be read independently.
Leinster, Tom
core  

Grothendieck Categories [PDF]

arXiv, 1999
The general theory of Grothendieck categories is presented. We systemize the principle methods and results of the theory, showing how these results can be used for studying rings and modules.
arxiv  

Thick subcategories of finite algebraic triangulated categories [PDF]

arXiv, 2010
We classify the thick subcategories of an algebraic triangulated standard category with finitely many indecomposable objects.
arxiv  

Spectra of small abelian categories [PDF]

arXiv, 2012
We investigate the Ziegler and Zariski topologies on the lattice of Serre subcategories of a small abelian category.
arxiv  

Idempotent completion of n-angulated categories [PDF]

arXiv, 2017
We show that the idempotent completion of an n-angulated category admits a unique n-angulated structure such that the inclusion is an n-angulated functor, which satisfies a universal property.
arxiv  

Homotopical presentation of categories [PDF]

arXiv
We give a criterion for a functor \(F:C\rightarrow B\) between small categories to generate a small presentation of the universal model category \(U(B)\) in the sense of Dugger.
arxiv