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arXiv · 0706.3905

The Implicit Function Theorem for continuous functions

Carlos Biasi·Carlos Gutierrez·Edivaldo L. dos Santos
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Abstract

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.

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BibTeXRIS

Carlos Biasi, Carlos Gutierrez, Edivaldo L. dos Santos. 2007-06-26. The Implicit Function Theorem for continuous functions. https://arxiv.org/abs/0706.3905

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