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On based-free actions of compact Lie groups on the Hilbert cube

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Publication:1966185
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DOI10.1007/BF02679809zbMath0940.57041WikidataQ115391883 ScholiaQ115391883MaRDI QIDQ1966185

Sergey A. Antonyan

Publication date: 13 July 2000

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

compact Lie groupbased-free action


Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Topology of infinite-dimensional manifolds (57N20)


Related Items

Some open problems in equivariant infinite-dimensional topology, Universal based-free involutions, A characterization of \(G\)-ANR and \(G\)-AR spaces for proper actions of Lie groups, Universal free \(G\)-spaces, Universal \(G\)-spaces for proper free actions



Cites Work

  • An equivariant extension theorem and G-retracts with a finite structure
  • Existence of a slice for an arbitrary compact transformation group
  • Periodic actions on the Hilbert cube
  • On CE-images of the Hubert cube and characterization of Q-manifolds
  • Applications of Group Actions on Finite Complexes to Hilbert Cube Manifolds
  • The classification of 𝐺-spaces
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