Emanuele Dotto

activity

20102024

most citedParametrized higher category theory and higher algebra: A general introduction

15 citations · 95 across the 19 of their papers we have counts for

collaborators

Showing 2014 · math.ATShow all

3 papers · 2 filters

math.AT2014

Finite Homotopy Limits of Nerves of Categories

Emanuele Dotto

Let $I$ be a small category with finite dimensional nerve, and $X : I \to C a t$ a diagram of small categories. We show that, under a "Reedy quasi-fibrancy condition", the homotop…

math.AT2014

Homotopy limits of spaces, connectivity and cofinality

Emanuele Dotto

This paper contains two results on how homotopy limits of topological spaces interact with connectivity. The first is a formula for the connectivity of the homotopy limit of diagra…

math.AT2014★ 9 cited

Homotopy theory of G-diagrams and equivariant excision

Emanuele Dotto, Kristian Moi

Let $G$ be a finite group acting on a small category $I$ . We study functors $X : I \to C$ equipped with families of compatible natural transformations that give a ki…