Coproducts internal to profinite spaces
Abstract
We give a categorical explanation for many properties of profinite coproducts of profinite groups, which were previously proven on a case-by-case basis. All of these properties take the form "certain functors preserve profinite coproducts". We give various examples to show how our framework can be applied. We also point out connections to internal category theory and profinite Bass-Serre theory.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Logic
programming
and type systems
Advanced Topology and Set Theory
Publication details
- Journal / source
- Advances in Mathematics
- Volume
- 503
- Pages
- 111209–111209
- Publication date
- 21 August 2026
- Language
- EN