The Implicit Function Theorem for continuous functions

Details The Implicit Function Theorem for continuous functions The Implicit Function Theorem for continuous functions

2007-06-26

arxiv.org/abs/0706.3905v1

Mathematics

Algebraic Topology

9 pages, no figures

Scientific paper

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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