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Conjugate unstable manifolds and their underlying geometrized Markov partitions. (English) Zbl 0995.54040

Summary: Conjugate unstable manifolds of saturated hyperbolic sets of Smale diffeomorphisms are characterized in terms of the combinatorics of their geometrized Markov partitions. As a consequence, the relationship between the local and the global point of view is also made explicit.

MSC:

54H20 Topological dynamics (MSC2010)
37D05 Dynamical systems with hyperbolic orbits and sets
54F15 Continua and generalizations
37D15 Morse-Smale systems
37C70 Attractors and repellers of smooth dynamical systems and their topological structure
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