Branched surfaces and attractors. I. Dynamic branched surfaces

Christy, Joe

doi:10.1090/S0002-9947-1993-1148043-8

Branched surfaces and attractors. I. Dynamic branched surfaces
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Trans. Amer. Math. Soc. 336 (1993), 759-784 Request permission

Abstract:

We show how, using ideas of R. F. Williams about branched surfaces, hyperbolic attractors of flows on three manifolds may be classified up to topological equivalence on an isolating neighborhood by a finite combinatorial object, a swaddled graph.

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