The Hilton–Milnor theorem in higher topoi
Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math. 26 (2021), 1423–1464] and uses only basic constructions native to any model of ‐categories.
Authors
- Samuel Lavenir (ORCID: https://orcid.org/0009-0004-6471-8780)
Institutions
- École Polytechnique Fédérale de Lausanne (CH)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2025-03-07
- DOI
- https://doi.org/10.1112/blms.70041
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung