Equivariant generalization of Dugundji's theorem

DOI10.1007/BF01158413zbMath0604.57026MaRDI QIDQ1083081

Sergey A. Antonyan

Publication date: 1985

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

zbMATH Keywords

equivariant mapcompact Lie groupDugundji's theoremequivariant extensioninvariant subset of locally convex G-space

Mathematics Subject Classification ID

Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Compact groups of homeomorphisms (57S10)

Related Items (10)

Some open problems in equivariant infinite-dimensional topology ⋮ West’s problem on equivariant hyperspaces and Banach-Mazur compacta ⋮ Extension of \(G\)-uniform maps ⋮ Hopf bifurcation in symmetric networks of coupled oscillators with hysteresis ⋮ Equivariant simultaneous extension operators for continuous maps ⋮ Some generalizations on affine invariant points ⋮ Global Bifurcation of Periodic Solutions in Symmetric Reversible Second Order Systems with Delays ⋮ Equivariant absolute extensor property on hyperspaces of convex sets ⋮ Linearization of proper group actions ⋮ Extending equivariant maps into spaces with convex structure

Cites Work

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• An extension of Tietze's theorem
• The classification of 𝐺-spaces

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