A lighthearted proof of the existence of \(G\)-fibrant extensions

DOI10.1016/j.topol.2024.108884OpenAlexW4392699642MaRDI QIDQ6130265

Gerardo Hernández Chávez, Jorge Alberto Sánchez Martínez, Yazmín Hernández Chávez

Publication date: 2 April 2024

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

Full work available at URL: https://doi.org/10.1016/j.topol.2024.108884

zbMATH Keywords

\(G\)-fibrationorbital space\(G\)-fibrant\(G\)-fibrant extension

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) Absolute neighborhood retracts (55M15) Equivariant homotopy theory in algebraic topology (55P91)

Cites Work

• Fibrant extensions of free \(G\)-spaces
• Compact group actions on equivariant absolute neighborhood retracts and their orbit spaces
• Equivariant strong shape
• \(G\)-fibrations and twisted products
• Transformation groups
• Extensorial properties of orbit spaces of proper group actions
• Orbit projections and G-ANR-resolutions
• RETRACTION PROPERTIES OF AN ORBIT SPACE
• \(G\)-fibrant extensions and twisted products
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