THE IMPLICIT FUNCTION THEOREM FOR CONTINUOUS FUNCTIONS
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2008
|
| Resumo |
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. |
| Identificador |
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, TORUN, v.32, n.1, p.177-185, 2008 1230-3429 http://producao.usp.br/handle/BDPI/28864 http://www-users.mat.umk.pl/~tmna/htmls/archives/vol-32-1.html |
| Idioma(s) |
eng |
| Publicador |
JULIUSZ SCHAUDER CTR NONLINEAR STUDIES TORUN |
| Relação |
Topological Methods in Nonlinear Analysis |
| Direitos |
closedAccess Copyright JULIUSZ SCHAUDER CTR NONLINEAR STUDIES |
| Palavras-Chave | #Darboux theorem #implicit function theorem #differentiable maps #degree of a map #Mathematics |
| Tipo |
article original article publishedVersion |
