A lighthearted proof of the existence of G-fibrant extensions

A lighthearted proof of the existence of G-fibrant extensions

In this article we prove the existence of a G-fibrant extension without using of the so-called equivariant cotelescope. Additionally, we use the K-orbital projection functor, with K, which is a closed normal subgroup of G, to generalize some well-known results over G-fibrant spaces and extensions.

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Veröffentlicht in:Topology and its applications 2024-04, Vol.347, p.108884, Article 108884
Hauptverfasser: Sánchez Martínez, Jorge Alberto, Hernández Chávez, Yazmín, Hernández Chávez, Gerardo
Format: Artikel
Sprache:eng
Schlagworte:
G-fibrant
G-fibrant extension
G-fibration
Orbital space
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Zusammenfassung:In this article we prove the existence of a G-fibrant extension without using of the so-called equivariant cotelescope. Additionally, we use the K-orbital projection functor, with K, which is a closed normal subgroup of G, to generalize some well-known results over G-fibrant spaces and extensions.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2024.108884