Abstract Let 𝐺 be a locally compact group and let S U B (G) SUB (G) be the set of closed subgroups of 𝐺 equipped with the Chabauty topology. In this paper, we establish some necessary and sufficient conditions for a map T: X → S U B (G) T X (G), from a topological space 𝑋 into S U B (G) SUB (G), to be continuous.
Nejeh Alaya (Mon,) studied this question.
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