Hilton-Milnor's theorem in $\infty$-topoi
Algebraic Topology
2023-12-25 v3 Category Theory
Abstract
In this note we show that the classical theorem of Hilton-Milnor on finite wedges of suspension spaces remains valid in any -topos. Our result relies on a version of James' splitting and uses only basic constructions native to any model of -categories.
Cite
@article{arxiv.2312.12370,
title = {Hilton-Milnor's theorem in $\infty$-topoi},
author = {Samuel Lavenir},
journal= {arXiv preprint arXiv:2312.12370},
year = {2023}
}