Construcción de Aplicaciones Estables de 3-variedades en ℝ3 ∗

N. B. Huamaní; Catarina M. Catarina

doi:10.5269/bspm.52610

Construcción de Aplicaciones Estables de 3-variedades en ℝ³ ∗

N. B. Huamaní
, Catarina M. Catarina

Universidad Nacional de San Cristóbal de Huamanga
Universidade Federal de Juiz de Fora

Research output: Contribution to journal › Article › peer-review

Abstract

This paper presents some graphs with weights, associated with the maps of 3 -varieties in ℝ³, and a scheme using these graphs for the construction of these stable applications of S³, S¹ × S² and the related sum between them in ℝ³, with a predetermined singular set, making use of surgeries between maps. In addition to studying the relationship between graphs and stable maps.

Original language	English
Journal	Boletim da Sociedade Paranaense de Matematica
Volume	41
DOIs	https://doi.org/10.5269/bspm.52610
State	Published - 2023
Externally published	Yes

Keywords

3-manifolds
3-sphere
Stable maps
graphs with weights
singular set

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10.5269/bspm.52610

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title = "Construcci{\'o}n de Aplicaciones Estables de 3-variedades en ℝ3 ∗",

abstract = "This paper presents some graphs with weights, associated with the maps of 3 -varieties in ℝ3, and a scheme using these graphs for the construction of these stable applications of S3, S1 {\texttimes} S2 and the related sum between them in ℝ3, with a predetermined singular set, making use of surgeries between maps. In addition to studying the relationship between graphs and stable maps.",

keywords = "3-manifolds, 3-sphere, Stable maps, graphs with weights, singular set",

author = "Huaman{\'i}, \{N. B.\} and Catarina, \{Catarina M.\}",

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year = "2023",

doi = "10.5269/bspm.52610",

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journal = "Boletim da Sociedade Paranaense de Matematica",

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AU - Catarina, Catarina M.

N1 - Publisher Copyright: © Soc. Paran. de Mat.

PY - 2023

Y1 - 2023

N2 - This paper presents some graphs with weights, associated with the maps of 3 -varieties in ℝ3, and a scheme using these graphs for the construction of these stable applications of S3, S1 × S2 and the related sum between them in ℝ3, with a predetermined singular set, making use of surgeries between maps. In addition to studying the relationship between graphs and stable maps.

AB - This paper presents some graphs with weights, associated with the maps of 3 -varieties in ℝ3, and a scheme using these graphs for the construction of these stable applications of S3, S1 × S2 and the related sum between them in ℝ3, with a predetermined singular set, making use of surgeries between maps. In addition to studying the relationship between graphs and stable maps.

KW - 3-manifolds

KW - 3-sphere

KW - Stable maps

KW - graphs with weights

KW - singular set

UR - https://www.scopus.com/pages/publications/85147127863

U2 - 10.5269/bspm.52610

DO - 10.5269/bspm.52610

M3 - Artículo

AN - SCOPUS:85147127863

SN - 0037-8712

VL - 41

JO - Boletim da Sociedade Paranaense de Matematica

JF - Boletim da Sociedade Paranaense de Matematica

ER -

Construcción de Aplicaciones Estables de 3-variedades en ℝ³ ∗

Abstract

Keywords

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