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An elementary proof of a Lima's theorem for surfaces.

Francisco Javier Turiel Sandín (1989)

Publicacions Matemàtiques

An elementary proof of the following theorem is given:THEOREM. Let M be a compact connected surface without boundary. Consider a C∞ action of Rn on M. Then, if the Euler-Poincaré characteristic of M is non zero there exists a fixed point.

Applications of Nielsen theory to dynamics

Boju Jiang (1999)

Banach Center Publications

In this talk, we shall look at the application of Nielsen theory to certain questions concerning the "homotopy minimum" or "homotopy stability" of periodic orbits under deformations of the dynamical system. These applications are mainly to the dynamics of surface homeomorphisms, where the geometry and algebra involved are both accessible.

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