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Genus and symmetry in homotopy theory

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Publication:1923237
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DOI10.1007/BF01444228zbMath0864.55004OpenAlexW2088517358MaRDI QIDQ1923237

Joseph Roitberg

Publication date: 23 June 1997

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182994


zbMATH Keywords

nilpotent groupslocalizationgenusself-homotopy equivalencesintegral homology groups4-dimensional manifoldsfinite CW-complexes


Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Localization and completion in homotopy theory (55P60)


Related Items

Automorphism groups of polycyclic-by-finite groups and arithmetic groups. ⋮ Automorphism groups of nilpotent groups and spaces



Cites Work

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  • On the homotopy theory of simply connected four manifolds
  • Unipotency and nilpotency in homotopy equivalences
  • The topology of four-dimensional manifolds
  • The normalizer of the Weyl group
  • Self-equivalences of \((n-1)\)-connected \(2n\)-manifolds
  • On the connection between the topological genus of certain polyhedra and the algebraic genus of their Hilton-Hopf quadratic forms
  • Localization of seif-homotopy equivalences inducing the identity on homology
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