A Thom isotopy theorem for nonproper semialgebraic maps
Abstract
We prove a version of the Thom isotopy theorem for nonproper semialgebraic maps $f\colon X\rightarrow \mathbb R^m$, where $X \subset\mathbb R^n$ is a semialgebraic set and $f$ is the restriction to $X$ of a smooth semialgebraic map $F\colon\mathbb R^n\rightarrow \mathbb R^m$.
Fields of Study & Subjects
Control and Dynamics of Mobile Robots
Homotopy and Cohomology in Algebraic Topology
Advanced Topics in Algebra
Publication details
- Journal / source
- Topological Methods in Nonlinear Analysis
- Pages
- 1–16
- Publication date
- 18 May 2026
- Language
- EN