Construcción de aplicaciones estables de $3$-variedades en $\mathbb{R}^3$

This paper presents some graphs with weights, associated with the maps of $3$-varieties in $\mathbb{R}^3$, and a scheme using these graphs for the construction of these stable applications of $S^3$, $S^1 \times S^2$ and the related sum between them in $\mathbb{R}^3$, with a predetermined singular...

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Bibliographic Details
Main Authors: Nelson Berrocal Huamani, Catarina Mendes de Jesus Sánchez
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2022-12-01
Series:Boletim da Sociedade Paranaense de Matemática
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/52610
Description
Summary:This paper presents some graphs with weights, associated with the maps of $3$-varieties in $\mathbb{R}^3$, and a scheme using these graphs for the construction of these stable applications of $S^3$, $S^1 \times S^2$ and the related sum between them in $\mathbb{R}^3$, with a predetermined singular set, making use of surgeries between maps. In addition to studying the relationship between graphs and stable maps.
ISSN:0037-8712
2175-1188