The rational homotopy type of the space of self-equivalences of a fibration

DOI10.4310/HHA.2010.v12.n2.a13zbMath1214.55011arXiv0903.1470MaRDI QIDQ624427

Gregory Lupton, Yves Félix, Samuel Bruce Smith

Publication date: 9 February 2011

Published in: Homology, Homotopy and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1470

zbMATH Keywords

derivationfunction spaceSullivan minimal modelSamelson Lie algebraFibre-homotopy equivalence

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Whitehead products and generalizations (55Q15)

Related Items (11)

C-symplectic poset structure on a simply connected space ⋮ The rational homotopical nilpotency of principal \(U_n(\mathbb C)\)-bundles ⋮ Sullivan minimal models of classifying spaces for non-formal spaces of small rank ⋮ A fibre-restricted Gottlieb group and its rational realization problem ⋮ On the rational homotopical nilpotency index of principal bundles ⋮ Fibrewise rational H-spaces ⋮ On a DGL-map between derivations of Sullivan minimal models ⋮ Fiber-homotopy self-equivalences and a classification of fibrations in rational homotopy ⋮ Realizing spaces as classifying spaces ⋮ Rational homotopy type of the classifying space for fibrewise self-equivalences ⋮ The universal fibration with fibre \(X\) in rational homotopy theory

This page was built for publication: The rational homotopy type of the space of self-equivalences of a fibration