Rational and real homotopy theory with arbitrary fundamental groups

DOI10.1215/S0012-7094-93-07111-6zbMath0797.55007OpenAlexW1510349497MaRDI QIDQ1312808

Edgar H. jun. Brown, Robert H. Szczarba

Publication date: 24 October 1994

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-93-07111-6

zbMATH Keywords

de Rham cohomologyfundamental groupfibrewise localizationsimplicial spaceminimal model

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Localization and completion in homotopy theory (55P60)

Related Items

The Serre spectral sequence theorem for continuous and ordinary cohomology ⋮ Rational homotopy theory and differential graded category ⋮ Rational homotopy theory for non-simply connected spaces ⋮ Automorphisms of Spaces with Finite Fundamental Group ⋮ A comparison between two de Rham complexes in diffeology ⋮ Algebraic and topological aspects of the schematization functor

Cites Work

• The Serre spectral sequence theorem for continuous and ordinary cohomology
• A convenient category of topological spaces
• Homologie singulière des espaces fibrés. Applications
• Continuous Cohomology and Real Homotopy Type
• On 𝑃𝐿 de Rham theory and rational homotopy type
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