HEREDITARILY INDECOMPOSABLE COMPACTA DO NOT ADMIT EXPANSIVE HOMEOMORPHISMS
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A homeomorphism h : X −→ X is expansive provided that forsome fixed c > 0 and every x, y ∈ X there exists an integer n, dependentonly on x and y, such that d(hn(x), hn(y)) > c. It is shown that if X is ahereditarily indecomposable compactum, then h cannot be expansive.
- Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society 136(10), 3689-3696, 2008-10
American Mathematical Society