A new relative notion of mean equicontinuity for factor maps between amenable group actions is introduced, characterized, and used to prove unique decompositions into topo-isomorphic and equicontinuous factors under minimality or weak mean equicontinuity.
Yorke, Interval maps, factors of maps, and chaos , Tˆ ohoku Mathematical Journal
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Mean equicontinuous factor maps
A new relative notion of mean equicontinuity for factor maps between amenable group actions is introduced, characterized, and used to prove unique decompositions into topo-isomorphic and equicontinuous factors under minimality or weak mean equicontinuity.