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Aug 25, 2015 at 14:18 vote accept Uchiha
Aug 25, 2015 at 8:52 comment added user78465 The existence of one weakly wandering set doesn't. However the theorem of Hajian and Kakutani actually says that the space is a union of weakly wandering sets (modulo measure zero subsets).
Aug 24, 2015 at 22:17 comment added Uchiha Thanks a lot. The paper looks relevant. I guess the existence of weakly wandering set does not exclude the property I want if the set $E$ in my question avoids the weakly wandering set?
Aug 23, 2015 at 20:38 review First posts
Aug 23, 2015 at 20:58
Aug 23, 2015 at 20:37 history answered user78465 CC BY-SA 3.0