The Implicit Function Theorem for continuous functions

Carlos Biasi, Carlos Gutierrez, Edivaldo L. dos Santos

Published 2007-06-26Version 1

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.