Continuous Cohomology and Real Homotopy Type

DOI10.2307/2001017zbMath0671.55006OpenAlexW4242717632MaRDI QIDQ3825060

Robert H. Szczarba, Edgar H. jun. Brown

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001017

zbMATH Keywords

differential formsfibrationrational homotopy typestopological groupscontinuous cohomologyrealizationhomotopy groupsSerre spectral sequencespace of indecomposableshomotopy theory of simplicial spacesreal homotopy categoryreal homotopy types

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Rational homotopy theory (55P62) Localization and completion in homotopy theory (55P60) Simplicial sets and complexes in algebraic topology (55U10) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Serre spectral sequences (55T10)

Related Items

The Serre spectral sequence theorem for continuous and ordinary cohomology, Basic constructions in rational homotopy theory of function spaces, On the rational homotopy type of function spaces, Rational homotopy theory for non-simply connected spaces, Homotopy Theory of Minimal Simplicial Spaces, Rational model for the string coproduct of pure manifolds, Rational and real homotopy theory with arbitrary fundamental groups

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