# APS-on-APS action

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Revision as of 20:20, 18 August 2008 by Vipul (talk | contribs) (New page: {{term related to|APS theory}} ==Definition== Let <math>(G,\Phi)</math> be an APS of groups and <math>(T,\Psi)</math> an APS of sets. An '''action''' of <math>G</math> on <math>T...)

This term is related to: APS theory

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## Definition

Let be an APS of groups and an APS of sets. An **action** of on is defined as the data of an action of on for every , such that for any natural numbers and any elements , we have: