Compact Hilbert cube manifolds and the invariance of Whitehead torsion

DOI10.1090/S0002-9904-1973-13087-3zbMath0251.57004OpenAlexW2018998924MaRDI QIDQ5664581

T. A. Chapman

Publication date: 1973

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1973-13087-3

Mathematics Subject Classification ID

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

Related Items (18)

Intersection R-torsion and analytic torsion for pseudomanifolds ⋮ On Reidemeister torsion of flag manifolds of compact semisimple Lie groups ⋮ Helical distributions of stokeslets ⋮ Theory of retracts and infinite-dimensional manifolds ⋮ Compact ANR’s have finite type ⋮ Les voisinages ouverts réguliers : critères homotopiques d'existence ⋮ Reidemeister torsion of a symplectic complex ⋮ A note on Reidemeister torsion and pleated surfaces ⋮ Chapman's classification of shapes. A proof using collapsing ⋮ Cell-like mappings and their generalizations ⋮ Finding a boundary for a Hilbert cube manifold ⋮ On Fubini-Study form and Reidemeister torsion ⋮ A note on reidemeister torsion and period matrix of Riemann surfaces ⋮ Shape theory ⋮ What is the theory of shape? ⋮ Concordances of Hilbert Cube Manifolds ⋮ Applications of Group Actions on Finite Complexes to Hilbert Cube Manifolds ⋮ Cell-like mappings of Hilbert cube manifolds: Applications to simple homotopy theory

Cites Work

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• On topological infinite deficiency
• Extending homeomorphisms to Hilbert cube manifolds
• Surgery and handle straightening in Hilbert cube manifolds
• Topological Invariance of Whitehead Torsion
• Whitehead torsion
• On the homotopy type of compact topological manifolds
• On the triangulation of manifolds and the Hauptvermutung
• Hilbert cube manifolds
• Mapping cylinders of Hilbert cube factors

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