Klopotowski, A. ; Nadkarni, M. G. ; Sarbadhikari, H. ; Srivastava, S. M. (2002) Sets with doubleton sections, good sets and ergodic theory Fundamenta Mathematicae, 173 . pp. 133-158. ISSN 0016-2736
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Official URL: http://journals.impan.gov.pl/fm/Inf/173-2-3.html
Related URL: http://dx.doi.org/10.4064/fm173-2-3
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Mathematics Polish Academy of Sciences. |
| ID Code: | 23414 |
| Deposited On: | 25 Nov 2010 09:06 |
| Last Modified: | 08 Jun 2011 08:37 |
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