Vago, Gioia M. Conjugate unstable manifolds and their underlying geometrized Markov partitions. (English) Zbl 0995.54040 Topology Appl. 104, No. 1-3, 255-291 (2000). 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 Keywords:invariant manifolds; Smale diffeomorphisms; geometrized Markov partitions PDFBibTeX XMLCite \textit{G. M. Vago}, Topology Appl. 104, No. 1--3, 255--291 (2000; Zbl 0995.54040) Full Text: DOI