Bounded Homotopy Equivalences of Hilbert Cube Manifolds

DOI10.2307/1999665zbMath0527.57008OpenAlexW4236185847MaRDI QIDQ3042013

C. Bruce Hughes

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/1999665

zbMATH Keywords

approximate fibrationscontrolled Whitehead spacebounded homotopy equivalences of Hilbert cube manifoldslower algebraic K-theoretic functorssemi-simplicial complex of bounded concordances

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Simplicial sets and complexes in algebraic topology (55U10) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Topology of infinite-dimensional manifolds (57N20) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Shape theory (55P55) Cobordism and concordance in PL-topology (57Q60)

Related Items (6)

Delooping controlled pseudo-isotopies of Hilbert cube manifolds ⋮ \(K_{-i}\) obstructions to factoring an open manifold ⋮ Examples of exotic stratifications ⋮ A Bass-Heller-Swan formula for pseudoisotopies ⋮ Unnamed Item ⋮ Bundle Theories for Topological Manifolds

Cites Work

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• On the spectrum of algebraic 𝐾-theory

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