Splitting of certain spaces CX

DOI10.1017/S0305004100055298zbMath0408.55006MaRDI QIDQ4195604

J. Peter May, Laurence R. Taylor, Frederick R. Cohen

Publication date: 1978

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

zbMATH Keywords

Configuration SpacesStable Decompositions of Loop SpacesStable Decompositions of Spaces As a Wedge

Mathematics Subject Classification ID

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

Related Items (27)

Orders of the canonical vector bundles over configuration spaces of finite graphs ⋮ The transfer and James-Hopf invariants ⋮ Singularity theory and configuration space models of \(\Omega ^ nS^ n\) of non-connected spaces ⋮ James Maps, Segal Maps, and the Kahn-Priddy Theorem ⋮ Algebraic 𝐾-theory of 𝑇𝐻𝐻(𝔽_{𝕡}) ⋮ The homotopy type of spaces of resultants of bounded multiplicity ⋮ Iterated monoidal categories ⋮ The Mitchell-Richter filtration of loops on Stiefel manifolds stably splits ⋮ A categorical context for the james-hopf maps ⋮ The unstable decomposition of \(\Omega^ 2 \Sigma^ 2X\) and its applications ⋮ Splittings of spaces CX ⋮ The topology of rational functions and divisors of surfaces ⋮ On the James and Hilton-Milnor splittings, and the metastable EHP sequence ⋮ The Goodwillie tower and the EHP sequence ⋮ The $L_2$-localization of $W(n)$ ⋮ On homotopy rigidity of the functor \(\varSigma\varOmega\) on co-\( H\)-spaces ⋮ Combinatorics of double loop suspensions, evaluation maps and Cohen groups ⋮ Hopf Constructions and Higher Projective Planes for Iterated Loop Spaces ⋮ On the cohomology of Young modules for the symmetric group. ⋮ Braided injections and double loop spaces ⋮ Opérades cellulaires et espaces de lacets itérés. (Cellular operads and iterated loop spaces.) ⋮ Décomposition de Hodge pour l’homologie stable des groupes d’automorphismes des groupes libres ⋮ Spherical classes in \(H_*(\omega ^ls^{l+n};{\mathbb{Z}}/2)\) for \(4\leqslant l \leqslant 8\) ⋮ Quadratic homology ⋮ Monopoles, braid groups, and the Dirac operator ⋮ The homotopy type of rational functions ⋮ The fibre of the iterated Freudenthal suspension

Cites Work

• Quasifaserungen und unendliche symmetrische Produkte
• Configuration spaces of positive and negative particles
• \(\Gamma^+\)-structures. III: The stable structure of \(\Omega^\infty\Sigma^\infty A\)
• \(E_\infty\) ring spaces and \(E_\infty\) ring spectra. With contributions by Frank Quinn, Nigel Ray, and Jorgen Tornehave
• A new infinite family in \(_2\pi^s_1\)
• Decomposition theorems for \(S(n)\)-complexes
• Cohomology operations, and obstructions to extending continuous functions
• Configuration-spaces and iterated loop-spaces
• Reduced product spaces
• A Stable Decomposition of ω ^N Sⁿ X

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