Differentiable open maps

Differentiable Periodic Maps

1. The bordism groups. This note presents an outline of the authors' efforts to apply Thorn's cobordism theory [ó] to the study of differentiable periodic maps. First, however, we shall outline our scheme for computing the oriented bordism groups of a space [ l ] . These preliminary remarks bear on a problem raised by Milnor [4]. A finite manifold is the finite disjoint union of compact connect...

Spectra of Differentiable Hyperbolic Maps

These are notes for the course with the same title given by the first named author during the workshop ”Resonances and periodic orbits: spectrum and zeta functions in quantum and classical chaos” at IHP, Paris, June 27-July 5, 2005. We refer to our joint paper ([4], arxiv.org, 19 pages) for a complete self-contained proof in a more general setting. Our goal here is to give a readerfriendly pres...

Whyburn'S conjecture for some differentiable maps.

Topology of Singular Fibers of Differentiable Maps

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An inequality for the entropy o f differentiable maps