Zobrazeno 1 - 10
of 19
pro vyhledávání: '"18B99 (Secondary)"'
Autor:
Lesnic, Sebastian Cristian
The article $-$ part of a larger thesis which aims to give a detailed description of the generalisation to the category of groups with operators of the classical theory of semisimplicity for modules $-$ presents a straightforward generalisation to gr
Externí odkaz:
http://arxiv.org/abs/2012.07052
Autor:
Tringali, Salvatore
The primary goal of this paper is to abstract notions, results and constructions from the theory of categories to the broader setting of plots. Loosely speaking, a plot can be thought of as a non-associative non-unital category with a "relaxed" compo
Externí odkaz:
http://arxiv.org/abs/1311.3524
In the standard Category of Graphs, the graphs allow only one edge to be incident to any two vertices, not necessarily distinct, and the graph morphisms must map edges to edges and vertices to vertices while preserving incidence. We refer to these gr
Externí odkaz:
http://arxiv.org/abs/1211.6715
Autor:
Dugger, Daniel, Spivak, David I.
Publikováno v:
Algebr. Geom. Topol. 11 (2011) 263-325
We apply the Dwyer-Kan theory of homotopy function complexes in model categories to the study of mapping spaces in quasi-categories. Using this, together with our work on rigidification from [DS1], we give a streamlined proof of the Quillen equivalen
Externí odkaz:
http://arxiv.org/abs/0911.0469
Autor:
Dugger, Daniel, Spivak, David I.
Publikováno v:
Algebr. Geom. Topol. 11 (2011) 225-261
We give a new construction for rigidifying a quasi-category into a simplicial category, and prove that it is weakly equivalent to the rigidification given by Lurie. Our construction comes from the use of necklaces, which are simplicial sets obtained
Externí odkaz:
http://arxiv.org/abs/0910.0814
Autor:
Morrison, Kent E.
Publikováno v:
Electron. J. Combin. 12(1) (2005) #R62
The combinatorial theory of species developed by Joyal provides a foundation for enumerative combinatorics of objects constructed from finite sets. In this paper we develop an analogous theory for the enumerative combinatorics of objects constructed
Externí odkaz:
http://arxiv.org/abs/math/0512052
Autor:
Zouboff, Alexei
We prove that the category of faded cosheaves in Set over a sober topological space $(B,\Omega)$ is equivalent to a category Sett$(B,\Omega)$ having the same class of objects as Set$ / B$ has, but generally a wider class of morphisms. We also prove t
Externí odkaz:
http://arxiv.org/abs/math/9901103
Autor:
Wagner, David G.
We define a contravariant functor K from the category of finite graphs and graph morphisms to the category of finitely generated graded abelian groups and homomorphisms. For a graph X, an abelian group B, and a nonnegative integer j, an element of Ho
Externí odkaz:
http://arxiv.org/abs/math/9802049
Autor:
David I. Spivak, Daniel Dugger
Publikováno v:
Algebr. Geom. Topol. 11, no. 1 (2011), 263-325
We apply the Dwyer–Kan theory of homotopy function complexes in model categories to the study of mapping spaces in quasi-categories. Using this, together with our work on rigidification from [Alg. Geom. Topol. 11 (2011) 225–261], we give a stream
Autor:
David G. Wagner
Publikováno v:
Advances in Applied Mathematics. 21(4):644-684
We define a contravariant functor K from the category of finite graphs and graph morphisms to the category of finitely generated graded abelian groups and homomorphisms. For a graph X, an abelian group B, and a nonnegative integer j, an element of Ho