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Preprint Number 48

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48. Mário J. Edmundo
A fixed point theorem in o-minimal structures

Submission date: 19 January 2007


Here we prove an o-minimal fixed point theorem for definable continuous maps on definably compact definable sets, generalizing Brumfiel's version of the Hopf fixed point theorem for semi-algebraic maps.

Mathematics Subject Classification: 03C64; 55M20

Keywords and phrases: O-minimal structures, fixed point theorems

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