Homotopy Fibre Sequences Induced by 2-Functors

Abstract

This paper contains some contributions to the study of the relationship between 2-categories and the homotopy types of their classifying spaces. Mainly, generalizations are given of both Quillen's Theorem B and Thomason's Homotopy Colimit Theorem to 2-functors.

The paper has been improved following referee's sugestions, to which the author would like to express his gratitude.

Cited by in corpus (2)

• A Quillen's Theorem A for strict $\infty$-categories I: the simplicial proof
• 2-categorical opfibrations, Quillen's Theorem B, and $S^{-1}S$