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Foliations and global injectivity in ℝ.
- Source :
-
Bulletin of the Brazilian Mathematical Society . Jun2013, Vol. 44 Issue 2, p273-284. 12p. - Publication Year :
- 2013
-
Abstract
- Let F: ℝ → ℝ be a polynomial local diffeomorphism and let S denote the set of not proper points of F. The Jelonek's real Jacobian Conjecture states that if codim( S) ≥ 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16787544
- Volume :
- 44
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Brazilian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 88785852
- Full Text :
- https://doi.org/10.1007/s00574-013-0013-y