| Full text | |
| Author(s): |
Nguyen, Nhan
;
Trivedi, Saurabh
[1]
Total Authors: 2
|
| Affiliation: | [1] Nhan Nguyen, Univ Sao Paulo, ICMC, Sao Paulo - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY; v. 168, n. 3, p. 519-533, MAY 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
We present a definable smooth version of the Thom transversality theorem. We show further that the set of non-transverse definable smooth maps is nowhere dense in the definable smooth topology. Finally, we prove a definable version of a theorem of Trotman which says that the Whitney (a)-regularity of a stratification is necessary and sufficient for the stability of transversality. (AU) | |
| FAPESP's process: | 15/12667-5 - Lipschitz Geometry of tame singular sets and mappings. |
| Grantee: | Saurabh Trivedi |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 16/14330-0 - Lipschitz geometry of stratified spaces |
| Grantee: | Nguyen Xuan Viet Nhan |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |