Rationalized evaluation subgroups of a map. II: Quillen models and adjoint maps

DOI10.1016/j.jpaa.2006.05.019zbMath1113.55007arXivmath/0401178OpenAlexW1993489975MaRDI QIDQ863906

Gregory Lupton, Samuel Bruce Smith

Publication date: 12 February 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401178

zbMATH Keywords

Gottlieb groupsrational homotopymapping spaces

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Homotopy groups of special spaces (55Q52)

Related Items (10)

Characteristic classes for families of bundles ⋮ Lie models for the components of sections of a nilpotent fibration ⋮ Rationalized evaluation subgroups of a map. I: Sullivan models, derivations and \(G\)-sequences ⋮ Unnamed Item ⋮ An explicit \(L_\infty\) structure for the components of mapping spaces ⋮ Daniel Quillen, the father of abstract homotopy theory ⋮ Whitehead products in function spaces: Quillen model formulae ⋮ On rational homological stability for block automorphisms of connected sums of products of spheres ⋮ Mapping spaces between manifolds and the evaluation map ⋮ A homological approach to pseudoisotopy theory. I.

Cites Work

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• Homotopie rationelle: modèles de Chen, Quillen, Sullivan
• Rationalized evaluation subgroups of a map. I: Sullivan models, derivations and \(G\)-sequences
• Torsion gaps in the homotopy of finite complexes
• The \(G\)-sequence and the \(\omega\)-homology of a CW-pair
• Rational evaluation subgroups
• Cyclic homotopies
• Decomposition Theorems in Rational Homotopy Theory
• Rational L.-S. Category and Its Applications

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