The Pinchuk example revisited
In this note we provide two special counterexamples to the strong real Jacobian Conjecture; the first one is surjective, the second one has non-dense image.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-05-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.570/ |
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| author | Fernandes, Filipe Jelonek, Zbigniew |
| author_facet | Fernandes, Filipe Jelonek, Zbigniew |
| author_sort | Fernandes, Filipe |
| collection | DOAJ |
| description | In this note we provide two special counterexamples to the strong real Jacobian Conjecture; the first one is surjective, the second one has non-dense image. |
| format | Article |
| id | doaj-art-200a0a2fd39144cba2a5297f86af34a6 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-05-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-200a0a2fd39144cba2a5297f86af34a62025-02-07T11:20:51ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-05-01362G444945210.5802/crmath.57010.5802/crmath.570The Pinchuk example revisitedFernandes, Filipe0Jelonek, Zbigniew1Departamento de Matemática, Universidade Federal do Ceará, 60440-900 Fortaleza, Ceará, BrazilDepartamento de Matemática, Universidade Federal do Ceará, Rua Campus do Pici, s/n, Bloco 914, Pici, 60440-900, Fortaleza-CE, Brazil; Instytut Matematyczny, Polska Akademia Nauk, Śniadeckich 8, 00-656 Warszawa, PolandIn this note we provide two special counterexamples to the strong real Jacobian Conjecture; the first one is surjective, the second one has non-dense image.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.570/ |
| spellingShingle | Fernandes, Filipe Jelonek, Zbigniew The Pinchuk example revisited Comptes Rendus. Mathématique |
| title | The Pinchuk example revisited |
| title_full | The Pinchuk example revisited |
| title_fullStr | The Pinchuk example revisited |
| title_full_unstemmed | The Pinchuk example revisited |
| title_short | The Pinchuk example revisited |
| title_sort | pinchuk example revisited |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.570/ |
| work_keys_str_mv | AT fernandesfilipe thepinchukexamplerevisited AT jelonekzbigniew thepinchukexamplerevisited AT fernandesfilipe pinchukexamplerevisited AT jelonekzbigniew pinchukexamplerevisited |