On orbit equivalence of borel automorphisms |
| |
| Authors: | P Chaube M G Nadkarni |
| |
| Institution: | 1. Government College, Raipur
2. Department of Mathematics, University of Bombay, Vidyanagari, Kalina, 400 098, Bombay
|
| |
| Abstract: | LetE andF be two Borel sets of the countable productZ of the two point space {0,1}. Assume thatE andF are invariant sets for the odometer transformationR and thatE andF are of measure zero with respect to the unique finiteR-invariant measure onZ. We show thatE andF areR-orbit equivalent in a strict sense. |
| |
| Keywords: | Odometer transformation orbit equivalence of Borel automorphisms compressibility |
| 本文献已被 SpringerLink 等数据库收录！ |
|
