On the injectivity of C1 maps of the real plane

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dc.contributor.authorCobo, Milton [UNESP]
dc.contributor.authorGutierrez, Carlos
dc.contributor.authorLlibre, Jaume
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversitat Autonoma de Barcelona
dc.date.accessioned2014-05-27T11:20:32Z
dc.date.available2014-05-27T11:20:32Z
dc.date.issued2002-12-01
dc.description.abstractLet X : ℝ2 → ℝ2 be a C1 map. Denote by Spec(X) the set of (complex) eigenvalues of DXp when p varies in ℝ2. If there exists ε > 0 such that Spec(X) ∩ (-ε, ε) = ∅, then X is injective. Some applications of this result to the real Keller Jacobian conjecture are discussed.en
dc.description.affiliationDepartamento de Matemáticas IBILCE UNESP, Sao José do Rio Preto (SP)
dc.description.affiliationICMC USP São Carlos IMPA, Rio de Janeiro
dc.description.affiliationDepartament de Matemàtiques Universitat Autonoma de Barcelona, 08193 Bellaterra, Barcelona
dc.description.affiliationUnespDepartamento de Matemáticas IBILCE UNESP, Sao José do Rio Preto (SP)
dc.format.extent1187-1201
dc.identifierhttp://cms.math.ca/10.4153/CJM-2002-045-0
dc.identifier.citationCanadian Journal of Mathematics, v. 54, n. 6, p. 1187-1201, 2002.
dc.identifier.issn0008-414X
dc.identifier.scopus2-s2.0-0036972513
dc.identifier.urihttp://hdl.handle.net/11449/67026
dc.identifier.wosWOS:000179787500004
dc.language.isoeng
dc.relation.ispartofCanadian Journal of Mathematics
dc.relation.ispartofjcr0.695
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.titleOn the injectivity of C1 maps of the real planeen
dc.typeArtigo
dcterms.licensehttp://cms.math.ca/Journals/permcopy
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt

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