Abstract
We consider the problem of when does a positive entropy topological system have a continuous factor with strictly smaller entropy. In many cases it is shown that such small entropy factors exist. On the other hand, classes of examples are given where differentiable factors must preserve some of the original entropy.
| Original language | English |
|---|---|
| Pages (from-to) | 535-546 |
| Number of pages | 12 |
| Journal | Ergodic Theory and Dynamical Systems |
| Volume | 11 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 1991 |