Fibrewise Localization and Completion

DOI10.2307/1998285zbMath0429.55004OpenAlexW4239565141MaRDI QIDQ3866801

J. Peter May

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/1998285

zbMATH Keywords

orientationAdams conjecturefibre homotopy equivalencefibrewise smash productfibrewise joinfibrewise localization and completion on the classifying space level

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Localization and completion in homotopy theory (55P60) Fiber spaces in algebraic topology (55R05) Classification of fiber spaces or bundles in algebraic topology (55R15) (J)-morphism (55Q50)

Related Items (16)

Rational homotopy nilpotency of self-equivalences ⋮ Classification of fiber sequences with a prescribed holonomy action ⋮ CONDITIONAL FLATNESS, FIBERWISE LOCALIZATIONS, AND ADMISSIBLE REFLECTIONS ⋮ Fibrewise rational H-spaces ⋮ On a DGL-map between derivations of Sullivan minimal models ⋮ On extensions of a symplectic class ⋮ Unnamed Item ⋮ Low rank cohomology of the classifying spaces of gauge groups over 3-manifolds ⋮ Unnamed Item ⋮ Note on mod \(p\) decompositions of gauge groups ⋮ A homotopy idempotent construction by means of simplicial groups ⋮ Relative group completions ⋮ Topological Hochschild homology of Thom spectra and the free loop space ⋮ The universal fibration with fibre \(X\) in rational homotopy theory ⋮ The homotopy fixed point set of Lie group actions on elliptic spaces ⋮ Homotopy pullback of \(A_n\)-spaces and its applications to \(A_n\)-types of gauge groups

Cites Work

• \(H_{\infty}\) ring spectra and their applications
• Mixing homotopy types of manifolds
• \(E_\infty\) ring spaces and \(E_\infty\) ring spectra. With contributions by Frank Quinn, Nigel Ray, and Jorgen Tornehave
• Genetics of homotopy theory and the Adams conjecture
• Homotopy invariant algebraic structures on topological spaces
• On the classification of fiber spaces
• Partitions of unity in the theory of fibrations
• The total space of universal fibrations
• Homotopy limits, completions and localizations
• The space of bundle maps
• On the groups \(J(X)\). I
• A classification theorem for fibre spaces
• On Spaces Having the Homotopy Type of a CW-Complex
• The equivalence of fiber spaces and bundles
• Classifying spaces and fibrations
• Fibrations Over a CWh-Base
• Immersion in the Metastable Range and 2-Localization
• Unnamed Item

This page was built for publication: Fibrewise Localization and Completion