Sets with doubleton sections, good sets and ergodic theory

• Autorzy: A. Kłopotowski , M. G. Nadkarni , H. Sarbadhikari , S. M. Srivastava
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 60A05: Axioms; other general questions
• 37Axx: Ergodic theory
• 47A35: Ergodic theory
• 28D05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2002
• Tom: 173
• Numer: 2
• Strony: 133-158

Daty

wydano

2002

Twórcy

autor

A. Kłopotowski

• Institut Galilée, Université Paris XIII, 93430 Villetaneuse Cedex, France

autor

M. G. Nadkarni

• Department of Mathematics, University of Mumbai, Kalina, Mumbai, India 400098

autor

H. Sarbadhikari

• Stat-Math Unit, Indian Statistical Institute, 203 B. T. Road, Calcutta, India 700035

autor

S. M. Srivastava

• Stat-Math Unit, Indian Statistical Institute, 203 B. T. Road, Calcutta, India, 700035

Identyfikatory

DOI

10.4064/fm173-2-3