Delooping controlled pseudo-isotopies of Hilbert cube manifolds

DOI10.1016/0166-8641(87)90067-8zbMath0622.57012OpenAlexW1970118475MaRDI QIDQ1090981

C. Bruce Hughes

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0166-8641(87)90067-8

zbMATH Keywords

Hurewicz fibrationcontrolled homotopy equivalencecompact Hilbert cube manifoldcontrolled pseudo-isotopy spacecontrolled simple homotopy theorycontrolled Whitehead spacedeloopingmanifold with a handle decomposition

Mathematics Subject Classification ID

Isotopy and pseudo-isotopy (57N37) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Topology of infinite-dimensional manifolds (57N20)

Related Items

A Concordance Extension Theorem ⋮ A Bass-Heller-Swan formula for pseudoisotopies ⋮ Bundle Theories for Topological Manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ends of Maps. II
• Controlled simple homotopy theory and applications
• Approximate fibrations on topological manifolds
• Higher simple homotopy theory
• Hurewicz fiber maps with ANR fibers
• Approximate fibrations
• The homeomorphism group of a compact Hilbert cube manifold is an ANR
• Approximate fibrations and bundle maps on Hilbert cube manifolds
• Bounded Homotopy Equivalences of Hilbert Cube Manifolds
• Approximation Results in Hilbert Cube Manifolds
• Concordances of Hilbert Cube Manifolds
• Topological Invariance of Whitehead Torsion
• On Homeomorphisms of Infinite Dimensional Bundles. III
• Infinite Products which are Hilbert Cubes