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A generalization of the line translation theorem

Author: Jian Wang
Journal: Trans. Amer. Math. Soc. 366 (2014), 5903-5923
MSC (2010): Primary 37E45, 37E30
Published electronically: June 25, 2014
MathSciNet review: 3256188
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Abstract: Through the method of brick decomposition and the operations on essential topological lines, we generalize the line translation theorem of Beguin, Crovisier and Le Roux (2006) in the case where the property of preserving a finite measure with total support is replaced by the intersection property.

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Additional Information

Jian Wang
Affiliation: Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, People’s Republic of China
Address at time of publication: Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, D-04103 Leipzig, Germany

Received by editor(s): September 14, 2011
Received by editor(s) in revised form: December 20, 2012, and December 26, 2012
Published electronically: June 25, 2014
Additional Notes: The author was supported by CSC and SRF for ROCS, SEM. This is a part of the author’s Ph.D. thesis at Tsinghua University.
Article copyright: © Copyright 2014 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.