Geodesic
Sets with doubleton sections, good sets and ergodic theory
A. Kłopotowski 1   ; M. G. Nadkarni 2   ; H. Sarbadhikari 3   ; S. M. Srivastava 4
1 Institut Galilée Université Paris XIII 93430 Villetaneuse Cedex, France
2 Department of Mathematics University of Mumbai Kalina, Mumbai, India 400098
3 Stat-Math Unit Indian Statistical Institute 203 B. T. Road Calcutta, India 700035
4 Stat-Math Unit Indian Statistical Institute 203 B. T. Road Calcutta, India, 700035
Fundamenta Mathematicae, Tome 173 (2002) no. 2, pp. 133-158 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm173-2-3
Keywords: borel subset unit square whose vertical horizontal sections two point sets admits natural group action exploit discuss questions about borel subsets unit square which every function sum functions coordinates connection probability measures prescribed marginals function algebra questions discussed

A. Kłopotowski  1   ; M. G. Nadkarni  2   ; H. Sarbadhikari  3   ; S. M. Srivastava  4

1 Institut Galilée Université Paris XIII 93430 Villetaneuse Cedex, France
2 Department of Mathematics University of Mumbai Kalina, Mumbai, India 400098
3 Stat-Math Unit Indian Statistical Institute 203 B. T. Road Calcutta, India 700035
4 Stat-Math Unit Indian Statistical Institute 203 B. T. Road Calcutta, India, 700035 
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 good sets and ergodic theory},
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 good sets and ergodic theory
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A. Kłopotowski; M. G. Nadkarni; H. Sarbadhikari; S. M. Srivastava. Sets with doubleton sections,
 good sets and ergodic theory. Fundamenta Mathematicae, Tome 173 (2002) no. 2, pp. 133-158. doi: 10.4064/fm173-2-3

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