13 citations · 24 across the 9 of their papers we have counts for
11 papers
On k-invariants for -categories
Yonatan Harpaz, Joost Nuiten, Matan Prasma
Every -category can be approximated by its tower of homotopy -categories. In this paper, we prove that the successive stages of this tower are classified by k-…
Quillen cohomology of -categories
Yonatan Harpaz, Joost Nuiten, Matan Prasma
In this paper we study the homotopy theory of parameterized spectrum objects in the -category of -categories, as well as the Quillen cohomology of an $(\infty,…
The tangent bundle of a model category
Yonatan Harpaz, Joost Nuiten, Matan Prasma
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 satisfy…
The abstract cotangent complex and Quillen cohomology of enriched categories
Yonatan Harpaz, Joost Nuiten, Matan Prasma
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 cohomol…
Tangent categories of algebras over operads
Yonatan Harpaz, Joost Nuiten, Matan Prasma
Associated to a presentable -category and an object is the tangent -category , consisting of parameteriz…
Sylow theorems for -groups
Matan Prasma, Tomer M. Schlank
Viewing Kan complexes as -groupoids implies that pointed and connected Kan complexes are to be viewed as -groups. A fundamental question is then: to what extent can…
An integral model structure and truncation theory for coherent group actions
Yonatan Harpaz, Matan Prasma
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…
The Grothendieck construction for model categories
Yonatan Harpaz, Matan Prasma
The Grothendieck construction is a classical correspondence between diagrams of categories and coCartesian fibrations over the indexing category. In this paper we consider the anal…
Segal Group Actions
Matan Prasma
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 representi…
Higher Descent Data as a Homotopy Limit
Matan Prasma
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 e…
Homotopy Normal Maps
Matan Prasma
Normal maps between discrete groups were characterized [FS] as those which induce a compatible topological group structure on the homotopy quotient .…