Rational Fibrations in Differential Homological Algebra

DOI10.2307/2154022zbMath0754.55011OpenAlexW126296402MaRDI QIDQ4018426

Aniceto Murillo-Mas

Publication date: 16 January 1993

Full work available at URL: https://eudml.org/doc/39857

zbMATH Keywords

fibrationrational homotopyrational cohomologydifferential Ext functorhomology of the Spivak fibre

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Rational homotopy theory (55P62) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Fiber spaces in algebraic topology (55R05)

Related Items

The behaviour of \(\text{Ext}_ A(R,A)\) through a morphism ⋮ On the Evaluation Map ⋮ The top cohomology class of certain spaces ⋮ The virtual Spivak fiber, duality on fibrations and Gorenstein spaces ⋮ Gorenstein space with nonzero evaluation map

Cites Work

• Gorenstein spaces
• Infinitesimal computations in topology
• Formes différentielles et suites spectrales
• Homology and fibrations I: Coalgebras, cotensor product and its derived functors
• On the ubiquity of Gorenstein rings
• Lectures on minimal models
• On 𝑃𝐿 de Rham theory and rational homotopy type
• Rational Fibrations, Minimal Models, and Fibrings of Homogeneous Spaces
• Rational L.-S. Category and Its Applications
• Unnamed Item
• Unnamed Item
• Unnamed Item