Continuous functions on primal topological spaces induced by group actions

Continuous functions on primal topological spaces induced by group actions

If $ G $ is a group acting on a set $ X $, then for any $ a\in G $, the restriction $ \phi_a:X\to X $ of the action to $ a $ induces a topology $ \tau_a $ for $ X $, called the primal topology induced by $ \phi_a $. First, we obtain a characterization of the normal subgroups in terms of the prima...

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Bibliographic Details
Main Authors: Luis Fernando Mejías, Jorge Vielma, Elvis Aponte, Lourival Rodrigues De Lima
Format: Article
Language:English
Published: AIMS Press 2025-01-01
Series:AIMS Mathematics
Subjects:
group action
primal topology
continuous function
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025037
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https://www.aimspress.com/article/doi/10.3934/math.2025037

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