The Implicit Function Theorem for continuous functions
Algebraic Topology
2007-06-28 v1 Classical Analysis and ODEs
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.
Cite
@article{arxiv.0706.3905,
title = {The Implicit Function Theorem for continuous functions},
author = {Carlos Biasi and Carlos Gutierrez and Edivaldo L. dos Santos},
journal= {arXiv preprint arXiv:0706.3905},
year = {2007}
}