Foliations and global injectivity in ℝ n

Autor:	Carlos Maquera, Jean Venato-Santos
Rok vydání:	2013
Předmět:	Set (abstract data type) Pure mathematics Polynomial Conjecture General Mathematics Mathematical analysis Bijection Foliation (geology) Local diffeomorphism Jacobian conjecture Mathematics
Zdroj:	Bulletin of the Brazilian Mathematical Society, New Series. 44:273-284
ISSN:	1678-7714 1678-7544
DOI:	10.1007/s00574-013-0013-y
Popis:	Let F: ℝ n → ℝ n be a polynomial local diffeomorphism and let S F denote the set of not proper points of F. The Jelonek’s real Jacobian Conjecture states that if codim(S F ) ≥ 2, then F is bijective. We prove a weak version of such conjecture establishing the sufficiency of a necessary condition for the bijectivity of F.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ac9c84e45d6b92b42d459dfa037659ec https://doi.org/10.1007/s00574-013-0013-y Zobrazit plný text záznamu Plný text ve formátu PDF