The Mitchell-Richter filtration of loops on Stiefel manifolds stably splits

DOI10.1090/S0002-9939-00-05794-4zbMath0978.55007OpenAlexW1539162324MaRDI QIDQ2701602

Gregory Z. Arone

Publication date: 19 February 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05794-4

zbMATH Keywords

Snaith splittingsWeiss' orthogonal calculus

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Loop spaces (55P35)

Related Items (5)

Multiplicative structure in the stable splitting of \(\Omega S L_n(\mathbb{C})\) ⋮ Unitary calculus: model categories and convergence ⋮ Recovering unitary calculus from calculus with reality ⋮ An equivariant generalization of the Miller splitting theorem ⋮ Deriving calculus with cotriples

Cites Work

• Stable splittings of Stiefel manifolds
• The loops onU(n)/O(n) andU(2n)/Sp(n)
• Splitting of certain spaces CX
• Orthogonal Calculus

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