On the rational homotopical nilpotency index of principal bundles

DOI10.1007/S40590-016-0098-6zbMath1398.55006OpenAlexW2326743691MaRDI QIDQ1694996

Yanlong Hao, Xiu Gui Liu

Publication date: 6 February 2018

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-016-0098-6

zbMATH Keywords

derivationSullivan minimal modelfibre homotopy equivalenceSamelson-Lie algebra

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Rational homotopy theory (55P62) Loop spaces (55P35) Discriminantal varieties and configuration spaces in algebraic topology (55R80)

Cites Work

• Unnamed Item
• The rational homotopical nilpotency of principal \(U_n(\mathbb C)\)-bundles
• The rational homotopy type of the space of self-equivalences of a fibration
• Homotopical nilpotency
• Infinitesimal computations in topology
• Rational homotopy type of the classifying space for fibrewise self-equivalences
• Lie models for the components of sections of a nilpotent fibration

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