Approximating Groups of Bundle Automorphisms by Loop Spaces

DOI10.2307/1999459zbMath0519.55011OpenAlexW4246929983MaRDI QIDQ3668490

Roberto Bencivenga

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999459

zbMATH Keywords

group of automorphisms of a fibre bundlegroup of automorphisms of a numerable G-bundleloop space of a mapping space

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Function spaces in general topology (54C35) Loop spaces (55P35) Fiber bundles in algebraic topology (55R10)

Cites Work

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• Construction of universal bundles. I
• Construction of universal bundles. II
• Coglueing homotopy equivalences
• Fibre bundles associated with space-time
• Partitions of unity in the theory of fibrations
• Convenient categories of topological spaces for homotopy theory
• The space of bundle maps
• H-Spaces of Self-Equivalences of Fibrations and Bundles
• Note on the Homotopy Properties of the Components of the Mapping Space X s p
• Fibrations Over a CWh-Base
• Spaces of partial maps, fibred mapping spaces and the compact-open topology
• Applications of Bundle Map Theory

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