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A fixed point theorem in o-minimal structures

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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.

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Fixed point theorems O-minimal structures

Citation

Edmundo, Mário Jorge - A fixed point theorem in o-minimal structures. "Annales de L'Institut Fourier" [Em linha]. ISSN 0373-0956 (Print) 1777-5310 (Online). Vol. 57, Nº 5 (2007), p. 1-10

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