The transfer maps induced in the algebraic \(K_ 0\)- and \(K_ 1\)-groups by a fibration. II

DOI10.1016/0022-4049(87)90066-1zbMath0657.57010OpenAlexW1964561000MaRDI QIDQ1110865

Wolfgang Lück

Publication date: 1987

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(87)90066-1

zbMATH Keywords

Whitehead grouptorsion invariantfibrationchain complexesprojective class groupequivariant Whitehead groupequivariant transferfinitely dominatedgeometric transferPL-bundlepointed fibre transport

Mathematics Subject Classification ID

Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Fiber spaces in algebraic topology (55R05) Wall finiteness obstruction for CW-complexes (57Q12) Transfer for fiber spaces and bundles in algebraic topology (55R12)

Related Items

Approximating \(L^2\)-invariants and homology growth ⋮ Existence of finitely dominated \(CW\)-complexes with \(G_ 1(X)=\pi_ 1(X)\) and non-vanishing finiteness obstruction ⋮ The signature of a fibre bundle is multiplicative mod 4 ⋮ The Borel conjecture for hyperbolic and CAT(0)-groups ⋮ Obstructions to stably fibering manifolds ⋮ Surgery obstructions of fibre bundles ⋮ Obstructions to fibering a manifold ⋮ Splitting off tori and the evaluation subgroup of the fundamental group

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