A Thom isotopy theorem for nonproper semialgebraic maps

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 $F\colon\mathbb R^n\rightarrow \mathbb R^m$.

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Publication Details

Journal
Topological Methods in Nonlinear Analysis
Published
2026-05-18
DOI
https://doi.org/10.12775/tmna.2025.050
Primary Topic
Control and Dynamics of Mobile Robots
Type
preprint
Field-Weighted Citation Impact
0.00

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preprint

A Thom isotopy theorem for nonproper semialgebraic maps

Luis Renato Gonçalves Dias, Giovanny Snaider Barrera Ramos
Topological Methods in Nonlinear Analysis
Control and Dynamics of Mobile Robots
preprint

A Thom isotopy theorem for nonproper semialgebraic maps

Luis Renato Gonçalves Dias, Giovanny Snaider Barrera Ramos
preprint en

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 $F\colon\mathbb R^n\rightarrow \mathbb R^m$.

Topological Methods in Nonlinear Analysis
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico
Openalex Percentile: Top 100%
Control and Dynamics of Mobile Robots
DOIOpen Access PDFOpenAlex
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