Weakly wandering sets and compressibility in descriptive setting

Eigen, S. ; Hajian, A. ; Nadkarni, M. G. (1991) Weakly wandering sets and compressibility in descriptive setting Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 103 (3). pp. 321-327. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/j_archive/mathsci/103/3/321-3...

Related URL: http://dx.doi.org/10.1007/BF02866994

Abstract

A Borel automorphismT on a standard Borel space (X, B) is constructed such that (a) there is no probability measure invariant under T and (b) there is no Borel set W weakly wandering under T and which generates the invariant set X.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Borel Automorphism; Weakly Wandering Set; Compressiblity
ID Code:23415
Deposited On:25 Nov 2010 09:07
Last Modified:17 May 2016 07:14

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