English

Approximation in ergodic theory, Borel, and Cantor dynamics

Dynamical Systems 2011-11-10 v1

Abstract

This survey is focused on the results related to topologies on the groups of transformations in ergodic theory, Borel, and Cantor dynamics. Various topological properties (density, connectedness, genericity) of these groups and their subsets (subgroups) are studied.

Keywords

Cite

@article{arxiv.math/0504490,
  title  = {Approximation in ergodic theory, Borel, and Cantor dynamics},
  author = {S. Bezuglyi and J. Kwiatkowski and K. Medynets},
  journal= {arXiv preprint arXiv:math/0504490},
  year   = {2011}
}