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Compact aspherical homogeneous spaces up to a finite covering

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Publication:791204
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DOI10.1007/BF02329735zbMath0535.57024MaRDI QIDQ791204

V. V. Gorbatsevich

Publication date: 1983

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)


zbMATH Keywords

fundamental groupfinite coveringcompact aspherical homogeneous spaceslattice in a Lie group


Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Differential geometry of homogeneous manifolds (53C30) Characteristic classes and numbers in differential topology (57R20) Discrete subgroups of Lie groups (22E40) Eilenberg-Mac Lane spaces (55P20)


Related Items (3)

On quasicompact homogeneous spaces ⋮ Curvature of a Riemannian metric on compact homogeneous manifolds ⋮ On compact aspherical homogeneous manifolds of dimension \(\leq 7\)




Cites Work

  • Unnamed Item
  • On the fundamental group of a homogeneous space
  • Flows on Homogeneous Spaces. (AM-53)
  • An exposition of the structure of solvmanifolds. Part I: Algebraic theory




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