Zobrazeno 1 - 10
of 34
pro vyhledávání: '"PRASMA, MATAN"'
Every $(\infty, n)$-category can be approximated by its tower of homotopy $(m, n)$-categories. In this paper, we prove that the successive stages of this tower are classified by k-invariants, analogously to the classical Postnikov tower for spaces. O
Externí odkaz:
http://arxiv.org/abs/2011.12723
In this paper we study the homotopy theory of parameterized spectrum objects in the $\infty$-category of $(\infty, 2)$-categories, as well as the Quillen cohomology of an $(\infty, 2)$-category with coefficients in such a parameterized spectrum. More
Externí odkaz:
http://arxiv.org/abs/1802.08046
This paper studies the homotopy theory of parameterized spectrum objects in a model category from a global point of view. More precisely, for a model category $\mathcal{M}$ satisfying suitable conditions, we construct a relative model category $\math
Externí odkaz:
http://arxiv.org/abs/1802.08031
In his fundamental work, Quillen developed the theory of the cotangent complex as a universal abelian derived invariant, and used it to define and study a canonical form of cohomology, encompassing many known cohomology theories. Additional cohomolog
Externí odkaz:
http://arxiv.org/abs/1612.02608
Associated to a presentable $\infty$-category $\mathcal{C}$ and an object $X \in \mathcal{C}$ is the tangent $\infty$-category $\mathcal{T}_X\mathcal{C}$, consisting of parameterized spectrum objects over $X$. This gives rise to a cohomology theory,
Externí odkaz:
http://arxiv.org/abs/1612.02607
Autor:
Prasma, Matan, Schlank, Tomer M.
Viewing Kan complexes as $\infty$-groupoids implies that pointed and connected Kan complexes are to be viewed as $\infty$-groups. A fundamental question is then: to what extent can one "do group theory" with these objects? In this paper we develop a
Externí odkaz:
http://arxiv.org/abs/1602.04494
Autor:
Harpaz, Yonatan, Prasma, Matan
In this work we study the homotopy theory of coherent group actions from a global point of view, where we allow both the group and the space acted upon to vary. Using the model of Segal group actions and the model categorical Grothendieck constructio
Externí odkaz:
http://arxiv.org/abs/1506.04117
Autor:
Harpaz, Yonatan, Prasma, Matan
The Grothendieck construction is a classical correspondence between diagrams of categories and coCartesian fibrations over the indexing category. In this paper we consider the analogous correspondence in the setting of model categories. As a main res
Externí odkaz:
http://arxiv.org/abs/1404.1852
Autor:
Prasma, Matan
We define a model category structure on a slice category of simplicial spaces, called the "Segal group action" structure whose fibrant-cofibrant objects may be viewed as representing spaces $X$ with a coherent action of a given Segal group (i.e. a gr
Externí odkaz:
http://arxiv.org/abs/1311.4749
Autor:
Prasma, Matan
We define the 2-groupoid of descent data assigned to a cosimplicial 2-groupoid and present it as the homotopy limit of the cosimplicial space gotten after applying the 2-nerve in each cosimplicial degree. This can be applied also to the case of $n$-g
Externí odkaz:
http://arxiv.org/abs/1112.3072