The Euler characteristic of a bicategory and the product formula for fibered bicategories

Abstract

This paper studies the Euler characteristic of a bicategory based on the concept of magnitudes introduced by Leinster. We focus on its invariance with respect to biequivalence and on the product formula for Buckley's fibered bicategories.

The contents about the 2-type model structures on the categories of 2-categories and bicategories have been removed from this version, and the title has changed.17 pages

References in corpus (4)

• Higher Topos Theory
• The magnitude of metric spaces
• Euler characteristic for weak n-categories and $\left(\infty ,1\right)$-categories
• The Euler characteristic of an enriched category

Cited by in corpus (1)

• Entropy and Diversity: The Axiomatic Approach