Abstract
Motivated by a topological classification of tiling spaces by Barge and Diamond, we construct extensions of zero-dimensional dynamical systems by blowing up a first-category invariant set. In particular, it is possible to create an arbitrary number of asymptotic pairs in any dynamical system.
Keywords: Residual extension; Hyperbolic attractor
Original language | Undefined/Unknown |
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Pages (from-to) | 83-86 |
Number of pages | 4 |
Journal | Topology and Its Applications: a journal devoted to general, geometric, set-theoretic and algebraic topology |
Volume | 152 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - 2005 |
Keywords
- academic journal papers
- ZX CWTS JFIS < 1.00