The topological-Euclidean space form problem

DOI10.1007/BF01390272zbMath0422.57019OpenAlexW2059847793WikidataQ57481347 ScholiaQ57481347MaRDI QIDQ1133811

Wu-Chung Hsiang, Francis Thomas Farrell

Publication date: 1978

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142543

zbMATH Keywords

Whitehead groupflat manifoldstransfer mapBieberbach groupsEuclidean space formshomotopy structures

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Surgery and handlebodies (57R65) Discontinuous groups of transformations (57S30) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Comparison of PL-structures: classification, Hauptvermutung (57Q25)

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Algebraic K-theory of group rings and the cyclotomic trace map, The surgery L-groups of poly-(finite or cyclic) groups, Structure Sets Vanish for Certain Bundles over Seifert Manifolds, On the transfer reducibility of certain Farrell-Hsiang groups, On Proofs of the Farrell–Jones Conjecture, Relating the Farrell Nil-groups to the Waldhausen Nil-groups, The Farrell-Hsiang method revisited, Higher Whitehead Groups of Certain Bundles Over Seifert Manifolds, On the Higher Whitehead Groups of a Bieberbach Group, Towers of regular self-covers and linear endomorphisms of tori, On Wh₃ of a Bieberbach group, Groups rings: an annotated questionnaire, Problems on Bieberbach groups and flat manifolds, Rigidity and crystallographic groups. I, Topological rigidity and actions on contractible manifolds with discrete singular set, The isomorphism conjecture for solvable groups in Waldhausen’s A-theory, Five dimensional Bieberbach groups with trivial centre, Rigidity Theorems for Right Angled Reflection Groups

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