FOUR KINDS OF DIFFERENTIABLE 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...

Four kinds of object symmetry

Abstract: This paper examines cross-speaker and cross-dialectal variation in object symmetry effects in three Germanic languages, English, Norwegian and Swedish. We argue that object symmetry effects are not a unified phenomenon, but rather that the availability of locality obviating theme movement out of applicative structures has different sources in different constructions. Both case-based a...

Topology of Singular Fibers of Differentiable Maps

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Whyburn'S conjecture for some differentiable maps.