| Grant number: | 16/14330-0 |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| Start date: | December 01, 2016 |
| End date: | February 28, 2019 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Maria Aparecida Soares Ruas |
| Grantee: | Nguyen Xuan Viet Nhan |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
| Associated research grant: | 14/00304-2 - Singularities of differentiable mappings: theory and applications, AP.TEM |
Abstract We propose to study bi-Lipschitz invariants along strata of some stratifications. O-minimal structures have emerged as an excellent framework for the study of singular spaces. Our focus is on two problems based on some very recent works about the Lipschitz geometry of definable singular spaces in o-minimal structures. The first one asks whether Lipschitz stratification of definable sets in o-minimal structures implies definable bi-Lipschitz triviality along strata of the stratification. The second one is to investigate invariants defined in terms of arc spaces along strata of stratifications, especially, Lipschitz stratifications. (AU) | |
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