Good coverings for section spaces of fibre bundles

DOI10.1016/j.topol.2010.01.008zbMath1236.58022OpenAlexW2085573206MaRDI QIDQ960845

Tilmann Wurzbacher, Mauro Spera

Publication date: 29 March 2010

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2010.01.008

zbMATH Keywords

good coveringssection spaces of fibre bundles

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Sheaf cohomology in algebraic topology (55N30) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Manifolds of mappings (58D15) Manifolds of mappings (46T10)

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Twistor spaces and spinors over loop spaces ⋮ Geodesics on path spaces and double category ⋮ A cocycle model for topological and Lie group cohomology

Cites Work

• The basic geometry of the manifold of Riemannian metrics and of its quotient by the diffeomorphism group
• The inverse function theorem of Nash and Moser
• Smooth Partitions of Unity on Manifolds
• Riemannian geometry.
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