dc.contributor.author | Barthel, Tobias | |
dc.contributor.author | Castellana, Natalia | |
dc.contributor.author | Heard, Drew Kenneth | |
dc.contributor.author | Valenzuela, Gabriel | |
dc.date.accessioned | 2023-02-16T09:43:20Z | |
dc.date.available | 2023-02-16T09:43:20Z | |
dc.date.created | 2022-01-12T17:39:34Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | American Journal of Mathematics. 2022, 144 (4), 895-941. | en_US |
dc.identifier.issn | 0002-9327 | |
dc.identifier.uri | https://hdl.handle.net/11250/3051398 | |
dc.description.abstract | Let $X$ be a topological space with Noetherian mod $p$ cohomology and let $C^*(X;\Bbb{F}_p)$ be the commutative ring spectrum of $\Bbb{F}_p$-valued cochains on $X$. The goal of this paper is to exhibit conditions under which the category of module spectra on $C^*(X;\Bbb{F}_p)$ is stratified in the sense of Benson, Iyengar, Krause, providing a classification of all its localizing subcategories. We establish stratification in this sense for classifying spaces of a large class of topological groups including Kac--Moody groups as well as whenever $X$ admits an $H$-space structure. More generally, using Lannes' theory we prove that stratification for $X$ is equivalent to a condition that generalizes Chouinard's theorem for finite groups. In particular, this relates the generalized telescope conjecture in this setting to a question in unstable homotopy theory. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Johns Hopkins University Press | en_US |
dc.relation.uri | https://arxiv.org/abs/1904.12841 | |
dc.title | On stratification for spaces with Noetherian mod p cohomology | en_US |
dc.title.alternative | On stratification for spaces with Noetherian mod p cohomology | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | acceptedVersion | en_US |
dc.source.pagenumber | 895-941 | en_US |
dc.source.volume | 144 | en_US |
dc.source.journal | American Journal of Mathematics | en_US |
dc.source.issue | 4 | en_US |
dc.identifier.doi | 10.1353/ajm.2022.0019 | |
dc.identifier.cristin | 1979873 | |
dc.relation.project | Trond Mohn stiftelse: TMS2020TMT02 | en_US |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |