| Full text | |
| Author(s): |
Braun, Francisco
;
Dias, Luis Renato Goncalves
;
Venato-Santos, Jean
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Proceedings of the American Mathematical Society; v. 150, n. 4, p. 4-pg., 2022-04-01. |
| Abstract | |
We construct a non-injective analytic local diffeomorphism of R-3 such that the pre-image of every affine hyperplane is connected. This disproves a conjecture proposed by S. Nollet and F. Xavier in 2002. (AU) | |
| FAPESP's process: | 17/00136-0 - Global injectivity of maps in R^n |
| Grantee: | Francisco Braun |
| Support Opportunities: | Regular Research Grants |