An Alpern tower independent of a given partition

James T. Campbell, et al. "An Alpern tower independent of a given partition." Colloquium Mathematicae 141.1 (2015): 119-124. <http://eudml.org/doc/286201>.

@article{JamesT2015,
abstract = {Given a measure-preserving transformation T of a probability space (X,ℬ,μ) and a finite measurable partition ℙ of X, we show how to construct an Alpern tower of any height whose base is independent of the partition ℙ. That is, given N ∈ ℕ, there exists a Rokhlin tower of height N, with base B and error set E, such that B is independent of ℙ, and TE ⊂ B.},
author = {James T. Campbell, Jared T. Collins, Steven Kalikow, Raena King, Randall McCutcheon},
journal = {Colloquium Mathematicae},
keywords = {Rokhlin tower; Alpern tower; independent sets; measure preserving transformation; probability space},
language = {eng},
number = {1},
pages = {119-124},
title = {An Alpern tower independent of a given partition},
url = {http://eudml.org/doc/286201},
volume = {141},
year = {2015},
}

TY - JOUR
AU - James T. Campbell
AU - Jared T. Collins
AU - Steven Kalikow
AU - Raena King
AU - Randall McCutcheon
TI - An Alpern tower independent of a given partition
JO - Colloquium Mathematicae
PY - 2015
VL - 141
IS - 1
SP - 119
EP - 124
AB - Given a measure-preserving transformation T of a probability space (X,ℬ,μ) and a finite measurable partition ℙ of X, we show how to construct an Alpern tower of any height whose base is independent of the partition ℙ. That is, given N ∈ ℕ, there exists a Rokhlin tower of height N, with base B and error set E, such that B is independent of ℙ, and TE ⊂ B.
LA - eng
KW - Rokhlin tower; Alpern tower; independent sets; measure preserving transformation; probability space
UR - http://eudml.org/doc/286201
ER -