Filtered spectra arising from permutative categories

DOI10.1515/CRELLE.2007.020zbMath1138.55007OpenAlexW2013579178MaRDI QIDQ3445250

Kathryn Lesh, Gregory Z. Arone

Publication date: 8 June 2007

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle.2007.020

zbMATH Keywords

connective \(K\)-theorysymmetric powersGoodwillie calculusorthogonal calculus

Mathematics Subject Classification ID

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 ⋮ Obstruction theory and the level n elliptic genus ⋮ Classification of problematic subgroups of $\boldsymbol {U(n)}$ ⋮ Strictly commutative complex orientation theory ⋮ Loop structures in Taylor towers

Cites Work

• Stable splittings derived from the Steinberg module
• Homology decompositions for classifying spaces of finite groups
• A spectrum level rank filtration in algebraic \(K\)-theory
• The Goodwillie tower of the identity functor and the unstable periodic homotopy of spheres
• \(p\)-Stubborn subgroups of classical compact Lie groups
• Infinite loop spaces from group theory
• Calculus. III: Taylor series
• The Weiss derivatives of BO(-) and BU(-)
• Categories and cohomology theories
• Partition Complexes, Tits Buildings and Symmetric Products
• A Kahn-Priddy sequence and a conjecture of G. W. Whitehead
• The transfer and Whitehead's conjecture
• First quadrant spectral sequences in algebraic k-theory via homotopy colimits
• Orthogonal Calculus
• A filtration of spectra arising from families of subgroups of symmetric groups
• THE STABLE HOMOTOPY OF COMPLEX PROJECTIVE SPACE

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