Partial actions of groups on profinite spaces

Partial actions of groups on profinite spaces

We show that for a partial action η with closed domain of a compact group G on a profinite space X the space of orbits X/~G is profinite, this leads to the fact that when G is profinite the enveloping space XG is also profinite. Moreover, we provide conditions for the induced quotient map πG  : X →...

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Bibliographic Details
Main Authors: Luis Martínez, Héctor Pinedo, Andrés Villamizar
Format: Article
Language:English
Published: Universitat Politècnica de València 2024-04-01
Series:Applied General Topology
Subjects:
partial action
profinite space
orbit equivalence relation
clopen sets
globalization
continuous section
reflective subcategory
enveloping action
Online Access:https://polipapers.upv.es/index.php/AGT/article/view/18049

Internet

https://polipapers.upv.es/index.php/AGT/article/view/18049

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