The monochromatic Hahn-Wilson conjecture
Abstract
Abstract We prove the $K(n)$ K ( n ) -local analogue of the Hahn-Wilson conjecture on fp-spectra, which states that the truncated Brown-Peterson spectra generate the category of fp-spectra as a thick subcategory. As a corollary, we deduce the original conjecture at height 1. Along the way, we prove the existence of $K(n)$ K ( n ) -local finite complexes with particularly regular rings of homotopy groups.
Fields of Study & Subjects
Point processes and geometric inequalities
Markov Chains and Monte Carlo Methods
Mathematics and Applications
Publication details
- Journal / source
- Inventiones mathematicae
- Publisher
- Springer Science and Business Media LLC
- Publication date
- 7 September 2026
- Language
- EN