Approximate fibrations and bundle maps on Hilbert cube manifolds

DOI10.1016/0166-8641(83)90034-2zbMath0506.55014OpenAlexW2143677236MaRDI QIDQ1836905

C. Bruce Hughes

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0166-8641(83)90034-2

zbMATH Keywords

parameterized approximation theoremparameterized families of approximate fibrations from a compact Hilbert cube manifold to a compact polyhedron

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Generalizations of fiber spaces and bundles in algebraic topology (55R65) Topology of infinite-dimensional manifolds (57N20) Fiber bundles in algebraic topology (55R10)

Related Items (4)

Delooping controlled pseudo-isotopies of Hilbert cube manifolds ⋮ Bounded Homotopy Equivalences of Hilbert Cube Manifolds ⋮ Unnamed Item ⋮ Bundle Theories for Topological Manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Hurewicz fiber maps with ANR fibers
• Approximate fibrations
• Ends of maps. I
• Deformations of spaces of imbeddings
• Deformation of homeomorphisms on stratified sets
• Constructing Approximate Fibrations
• Approximating Homotopy Equivalences by Homeomorphisms
• Approximation Results in Hilbert Cube Manifolds
• Approximation results in topological manifolds
• Approximating Approximate Fibrations by Fibrations
• Deformation of Open Embeddings of Q-Manifolds

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