An equivariant extension theorem and G-retracts with a finite structure

DOI10.1007/BF01263266zbMath0488.54009MaRDI QIDQ1166146

Jan Jaworowski

Publication date: 1981

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154798

zbMATH Keywords

fixed point setequivariant mapANRfinite structureequivariant extensioncharacterization of G-ANR's and G-AR'sfinite number of orbit typesseparable metric G-space

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Compact groups of homeomorphisms (57S10)

Related Items (9)

A comparison principle and extension of equivariant maps ⋮ Countable approximation of topological G-manifolds, II: linear Lie groups G ⋮ A characterization of \(G\)-ANR and \(G\)-AR spaces for proper actions of Lie groups ⋮ On based-free actions of compact Lie groups on the Hilbert cube ⋮ Equivariant Gysin maps and pulling back fixed points ⋮ Equivariant hopf theorem ⋮ Orbit spaces and unions of equivariant absolute neighborhood extensors ⋮ Free \(G\)-spaces and maximal equivariant compactifications ⋮ Countable approximation of topological \(G\)-manifolds. III: Arbitrary Lie groups

Cites Work

• Unnamed Item
• Unnamed Item
• An extension of Tietze's theorem
• The Equivariant Extension Theorem
• G-Spaces with A finite structure and their embedding inG-vector spaces
• The classification of 𝐺-spaces
• Rétractes absolus et hyperespaces des continus

This page was built for publication: An equivariant extension theorem and G-retracts with a finite structure