Controlled simple homotopy theory and applications

DOI10.1007/BFb0066066zbMath0548.57001OpenAlexW4210308830MaRDI QIDQ799267

T. A. Chapman

Publication date: 1983

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bfb0066066

zbMATH Keywords

CE-PL mapscontrolled boundary theoremControlled finiteness obstructioncontrolled homotopycontrolled homotopy equivalencecontrolled s- cobordism theoremcontrolled Whitehead groupcontrolled Whitehead torsion

Mathematics Subject Classification ID

Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) (h)- and (s)-cobordism (57R80) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Wall finiteness obstruction for CW-complexes (57Q12) Cobordism in PL-topology (57Q20)

Related Items (14)

Delooping controlled pseudo-isotopies of Hilbert cube manifolds ⋮ Controlled \(K\)-theory ⋮ 𝐻-cobordisms with foliated control ⋮ Automorphisms of manifolds and algebraic K-theory. I ⋮ Equivariantly finite manifolds with no handle structure ⋮ A comparison of continuously controlled and controlled \(K\)-theory ⋮ The Bass-Heller-Swan formula for the equivariant topological Whitehead group ⋮ A Bass-Heller-Swan formula for pseudoisotopies ⋮ Rigidity and crystallographic groups. I ⋮ Bundle Theories for Topological Manifolds ⋮ h-COBORDISMS AND MAPPING CYLINDER OBSTRUCTIONS ⋮ Geometric modules and algebraic \(K\)-homology theory ⋮ Some mildly wild circles in \(S^ n\) arising from algebraic K-theory ⋮ Equivariant ℎ-cobordisms and finiteness obstructions

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