A formula for \(p\)-completion by way of the Segal conjecture

DOI10.1016/j.topol.2022.108255OpenAlexW2605514083WikidataQ123149759 ScholiaQ123149759MaRDI QIDQ2104986

Nathaniel Stapleton, Sune Precht Reeh, Tomer M. Schlank

Publication date: 8 December 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.00271

zbMATH Keywords

Burnside ringspectraSegal conjecturefusion systems\(p\)-completion

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Localization and completion in homotopy theory (55P60)

Cites Work

• Fusion systems and localities.
• The localization of spectra with respect to homology
• The abelian monoid of fusion-stable finite sets is free
• Transfer and characteristic idempotents for saturated fusion systems
• Equivariant stable homotopy and Segal's Burnside ring conjecture
• The Segal conjecture for elementary abelian \(p\)-groups
• The localization of spaces with respect to homology
• Genetics of homotopy theory and the Adams conjecture
• Saturated fusion systems as idempotents in the double Burnside ring.
• Geometric topology. Localization, periodicity and Galois symmetry. The 1970 MIT Notes. Edited by A. Ranicki
• Classifying spectra of saturated fusion systems
• Homotopy limits, completions and localizations
• The homotopy theory of fusion systems
• On the comparison of stable and unstable $p$-completion
• Chern approximations for generalised group cohomology
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