81 citations · 142 across the 18 of their papers we have counts for
21 papers
A study of Kock's fat Delta
Tom de Jong, Nicolai Kraus, Simona Paoli +1
Motivated by the study of weak identity structures in higher category theory we explore the fat Delta category, a modification of the simplex category introduced by J. Kock and pro…
A Model for the André-Quillen Cohomology of an -Category
David Blanc, Simona Paoli
We describe a comonad on -track categories, for each yielding an explicit cosimplicial abelian group model for the André-Quillen cohomology of an -category…
Weakly globular double categories and weak units
Simona Paoli
Weakly globular double categories are a model of weak -categories based on the notion of weak globularity, and they are known to be suitably equivalent to Tamsamani -categori…
Stable homotopy hypothesis in the Tamsamani model
Lyne Moser, Viktoriya Ozornova, Simona Paoli +2
We prove that symmetric monoidal weak n-groupoids in the Tamsamani model provide a model for stable n-types. Moreover, we recover the classical statement that Picard categories mod…
Comonad Cohomology of Track Categories
David Blanc, Simona Paoli
We define a comonad cohomology of track categories and we show it is linked by a long exact sequence to its Dwyer-Kan-Smith cohomology . Under mild hypothesis on the track category…
Segal-type models of higher categories
Simona Paoli
Higher category theory is an exceedingly active area of research, whose rapid growth has been driven by its penetration into a diverse range of scientific fields. Its influence ext…