Augmented Γ-spaces, the stable rank filtration, and a bu analogue of the Whitehead conjecture

DOI10.4064/fm207-1-3zbMath1194.55013arXiv0902.2564OpenAlexW2594399682WikidataQ123272375 ScholiaQ123272375MaRDI QIDQ5306816

Kathryn Lesh, Gregory Z. Arone

Publication date: 9 April 2010

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.2564

zbMATH Keywords

orthogonal calculuscalculus of functorsWhitehead conjecturerank filtrationGamma spaces

Mathematics Subject Classification ID

Connective (K)-theory, cobordism (19L41) Equivariant homotopy theory in algebraic topology (55P91) Loop space machines and operads in algebraic topology (55P48) Homology and homotopy of (Bmathrm{O}) and (Bmathrm{U}); Bott periodicity (55R45)

Related Items (7)

The rank filtration via a filtered bar construction ⋮ Filtrations of global equivariant \(K\)-theory ⋮ Suspension spectra of matrix algebras, the rank filtration, and rational noncommutative CW-spectra ⋮ The Goodwillie tower for \(S^1\) and Kuhn's theorem ⋮ Strictly commutative complex orientation theory ⋮ The Goodwillie tower and the EHP sequence ⋮ Symmetric spectra model global homotopy theory of finite groups

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