topology, hyperbolic attractors, compact surfaces
Suppose M is a compact surface and M is a nontrivial mixing hyperbolic attractor for some f 2 Diff(M). We show that if is a hyperbolic set for some g 2 Diff(M), then is a nontrivial mixing hyperbolic attractor or repeller for g.
Original Publication Citation
Ergod. Th. & Dynam. Sys. (26), 26(5), pp 1511-152.
BYU ScholarsArchive Citation
Fisher, Todd L., "The Topology of Hyperbolic Attractors on Compact Surfaces" (2003). All Faculty Publications. 489.
Cambridge University Press, http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=47589
Physical and Mathematical Sciences
© 2006 Cambridge University Press
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