The implicit function theorem for continuous functions
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Darboux theorem, implicit function theorem, differentiable maps, degree of a mapAbstrakt
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.Pobrania
Opublikowane
2008-09-01
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1.
BIASI, Carlos, GUTIERREZ, Carlos & DOS SANTOS, Edivaldo L. The implicit function theorem for continuous functions. Topological Methods in Nonlinear Analysis [online]. 1 wrzesień 2008, T. 32, nr 1, s. 177–185. [udostępniono 22.7.2024].
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