Abstract
We show that if (X, T) is an extension of an aperiodic subshift (a subsystem of ({ 1, 2, ⋯, l}Z, shift ) for some l∈ N) and has mean dimension mdim (X, T)< (D/ 2), D∈ N, then it can be equivariantly embedded in [0, 1]D)Z, shift ). The result is sharp. If (X, T) is an extension of an aperiodic zero-dimensional system then it can be equivariantly embedded in [0, 1] D+ 1)Z, shift).
Original language | English |
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Pages (from-to) | 1888-1896 |
Number of pages | 9 |
Journal | Ergodic Theory and Dynamical Systems |
Volume | 34 |
Issue number | 6 |
DOIs | |
Publication status | Published - Apr 3 2013 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Applied Mathematics