The Implicit Function Theorem for continuous functions

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In the present paper we obtain a new homological version of the implicit function theorem and some versions of the Darboux theorem. Such results are proved for continuous maps on topological manifolds. As a consequence, some versions of these classic theorems are proved when we consider differenciable (not necessarily C^1) maps.
9 pages, no figures

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Algebraic Topology, Classical Analysis and ODEs, 58C15: 47J07

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http://salesiana.dossiersoluciones.com/handle/123456789/132508

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.3905
 http://arxiv.org/abs/0706.3905

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arXiv