The Burnside bicategory of groupoids
Haynes Miller
TL;DR
This paper explores different models of the Burnside bicategory of groupoids, demonstrating their equivalence and highlighting its additive structure, which has implications for understanding symmetry and groupoid actions.
Contribution
It introduces multiple models for the Burnside bicategory of groupoids and proves their equivalence, emphasizing its additive nature.
Findings
Multiple models for the Burnside bicategory are shown to be equivalent.
The Burnside category of groupoids is proven to be additive.
The paper clarifies the structure and properties of the Burnside bicategory.
Abstract
Several models for the Burnside bicategory of groupoids are described and shown to be equivalent. As observed by the late Gaunce Lewis, the corresponding Burnside category is additive.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Fuzzy and Soft Set Theory · Logic, programming, and type systems