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On the topological degree of functions definable in o-minimal structures (l)

Tuesday 1st February 2005 - 16:30 to 18:30
INI Seminar Room 1

We work in an o-minimal expansion of a real closed field. Using piecewise smoothness of definable functions we define the topological degree for definable continuous functions.

Using this notion of the degree we obtain a new proof for the existence of torsion points in a definably compact group.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons