Geodesic
Sets with doubleton sections, good sets and ergodic theory
A. Kłopotowski1 ; M. G. Nadkarni2 ; H. Sarbadhikari3 ; S. M. Srivastava4
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

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
@article{10_4064_fm173_2_3,
     author = {A. K{\l}opotowski and M. G. Nadkarni and H. Sarbadhikari and S. M. Srivastava},
     title = {Sets with doubleton sections,
 good sets and ergodic theory},
     journal = {Fundamenta Mathematicae},
     pages = {133--158},
     publisher = {mathdoc},
     volume = {173},
     number = {2},
     year = {2002},
     doi = {10.4064/fm173-2-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm173-2-3/}
}
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
SP  - 133
EP  - 158
VL  - 173
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm173-2-3/
DO  - 10.4064/fm173-2-3
LA  - en
ID  - 10_4064_fm173_2_3
ER  - 
%0 Journal Article
%A A. Kłopotowski
%A M. G. Nadkarni
%A H. Sarbadhikari
%A S. M. Srivastava
%T Sets with doubleton sections,
 good sets and ergodic theory
%J Fundamenta Mathematicae
%D 2002
%P 133-158
%V 173
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm173-2-3/
%R 10.4064/fm173-2-3
%G en
%F 10_4064_fm173_2_3
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

Cité par Sources :