Fibrant extensions of free \(G\)-spaces

DOI10.1016/j.topol.2011.11.037zbMath1241.54009OpenAlexW2067426687MaRDI QIDQ409588

Amalia Torres Juan, Alexander Bykov

Publication date: 13 April 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.11.037

zbMATH Keywords

orbit space\(G\)-ANR\(G\)-fibrant space\(G\)-fibration

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Quotient spaces, decompositions in general topology (54B15) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Shape theory in general topology (54C56)

Related Items (4)

Unnamed Item ⋮ Strong \(G\)-fibrations and orbit projections ⋮ A lighthearted proof of the existence of \(G\)-fibrant extensions ⋮ \(G\)-fibrant extensions and twisted products

Cites Work

• The homogeneous space \(G/H\) as an equivariant fibrant space
• Compact group actions on equivariant absolute neighborhood retracts and their orbit spaces
• Equivariant strong shape
• Transformation groups
• Orbit spaces and unions of equivariant absolute neighborhood extensors
• Extensorial properties of orbit spaces of proper group actions
• Shape fibrations and strong shape theory
• Function spaces and shape theories
• Equivariant shape
• RETRACTION PROPERTIES OF AN ORBIT SPACE
• The classification of 𝐺-spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item

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