Filtered model of a fibration and rational obstruction theory

DOI10.1007/BF02567750zbMath0766.55008MaRDI QIDQ1201426

Samson Saneblidze

Publication date: 17 January 1993

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155743

zbMATH Keywords

perturbationrational homotopyfiltered modelsSerre special sequence

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Serre spectral sequences (55T10)

Related Items (4)

On fibrations with formal elliptic fibers ⋮ On the homotopy classification of sections in the free loop fibration ⋮ Obstructions to the section problem in fibre bundles ⋮ The set of multiplicative predifferentials and the rational cohomology algebra of fibre spaces

Cites Work

• The set of multiplicative predifferentials and the rational cohomology algebra of fibre spaces
• The Lie algebra structure of tangent cohomology and deformation theory
• Rational homotopy of Serre fibrations
• Obstruction theory on homotopy classification of maps
• Infinitesimal computations in topology
• Formes différentielles et suites spectrales
• Obstructions to homotopy equivalences
• Obstructions to the section problem in fibre bundles
• Homotopie filtrée et fibrés \(C^{\infty}\)
• Algebraic aspects of Chen's twisting cochain
• Rational homotopy theory
• Cohomology operations, and obstructions to extending continuous functions
• Lectures on minimal models
• Realisation de Morphismes Donnes en Cohomologie et Suite Spectrale D'Eilenberg-Moore
• On 𝑃𝐿 de Rham theory and rational homotopy type
• Eilenberg-Moore Models for Fibrations
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