The implicit function theorem for continuous functions
Keywords
Darboux theorem, implicit function theorem, differentiable maps, degree of a mapAbstract
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.Downloads
Published
2008-09-01
How to Cite
1.
BIASI, Carlos, GUTIERREZ, Carlos and DOS SANTOS, Edivaldo L. The implicit function theorem for continuous functions. Topological Methods in Nonlinear Analysis. Online. 1 September 2008. Vol. 32, no. 1, pp. 177 - 185. [Accessed 26 April 2024].
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