The rank filtration via a filtered bar construction

DOI10.2140/agt.2022.22.251zbMath1491.55011arXiv2003.09947OpenAlexW3012606539MaRDI QIDQ2133955

Kathryn Lesh, Gregory Z. Arone

Publication date: 5 May 2022

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.09947

zbMATH Keywords

bar constructionrank filtration\(\Gamma\)-space

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Topological (K)-theory (55N15) Infinite loop spaces (55P47)

Cites Work

• Unnamed Item
• Bredon homology of partition complexes
• An inverse \(K\)-theory functor
• A spectrum level rank filtration in algebraic \(K\)-theory
• Calculus. I: The first derivative of pseudoisotopy theory
• Categories and cohomology theories
• Partition Complexes, Tits Buildings and Symmetric Products
• Categorical Homotopy Theory
• Filtered spectra arising from permutative categories
• A Kahn-Priddy sequence and a conjecture of G. W. Whitehead
• The transfer and Whitehead's conjecture
• Smash products and Γ-spaces
• p-Toral Approximations Compute Bredon Homology
• Augmented Γ-spaces, the stable rank filtration, and a bu analogue of the Whitehead conjecture

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