Sets with doubleton sections, good sets and ergodic theory

@article{A2002,
abstract = {A Borel subset of the unit square whose vertical and horizontal sections are two-point sets admits a natural group action. We exploit this to discuss some questions about Borel subsets of the unit square on which every function is a sum of functions of the coordinates. Connection with probability measures with prescribed marginals and some function algebra questions is discussed.},
author = {A. Kłopotowski, M. G. Nadkarni, H. Sarbadhikari, S. M. Srivastava},
journal = {Fundamenta Mathematicae},
keywords = {good sets; linked components; sequentially good sets; simplicial measures},
language = {eng},
number = {2},
pages = {133-158},
title = {Sets with doubleton sections, good sets and ergodic theory},
url = {http://eudml.org/doc/282669},
volume = {173},
year = {2002},
}

TY - JOUR
AU - A. Kłopotowski
AU - M. G. Nadkarni
AU - H. Sarbadhikari
AU - S. M. Srivastava
TI - Sets with doubleton sections, good sets and ergodic theory
JO - Fundamenta Mathematicae
PY - 2002
VL - 173
IS - 2
SP - 133
EP - 158
AB - A Borel subset of the unit square whose vertical and horizontal sections are two-point sets admits a natural group action. We exploit this to discuss some questions about Borel subsets of the unit square on which every function is a sum of functions of the coordinates. Connection with probability measures with prescribed marginals and some function algebra questions is discussed.
LA - eng
KW - good sets; linked components; sequentially good sets; simplicial measures
UR - http://eudml.org/doc/282669
ER -