On Properties of Expansive Group Actions

On Properties of Expansive Group Actions

We study several properties of expansive group actions on metric spaces and obtain some relations between the expansivity for subgroup and group actions. Through counter examples, the necessity of hypothesis is justified. We also study the expansivity of covering maps. Further, we define orbit expan...

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Veröffentlicht in:Acta mathematica vietnamica 2019-12, Vol.44 (4), p.923-934
Hauptverfasser: Barzanouni, Ali, Divandar, Mahin Sadat, Shah, Ekta
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Expansion
Fair Labor Standards Act 1938-US
Mathematics
Mathematics and Statistics
Subgroups
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container_title Acta mathematica vietnamica
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creator Barzanouni, Ali
Divandar, Mahin Sadat
Shah, Ekta
description We study several properties of expansive group actions on metric spaces and obtain some relations between the expansivity for subgroup and group actions. Through counter examples, the necessity of hypothesis is justified. We also study the expansivity of covering maps. Further, we define orbit expansivity for group actions on topological spaces and use it to characterize expansive actions.
doi_str_mv 10.1007/s40306-019-00330-9
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subjects Expansion
Fair Labor Standards Act 1938-US
Mathematics
Mathematics and Statistics
Subgroups
title On Properties of Expansive Group Actions
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