The Reeb Graph of a Map Germ from R3 to R2 with Non Isolated Zeros
Carregando...
Arquivos
Data
2018-06-01
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Tipo
Artigo
Direito de acesso
Acesso aberto
Resumo
We consider the topological classification of finitely determined map germs [f] : (R3, 0) → (R2, 0) with f- 1(0) ≠ { 0 }. The case f- 1(0) = { 0 } was treated in another recent paper by the authors. The main tool used to describe the topological type is the link of [f], which is obtained by taking the intersection of its image with a small sphere Sδ1 centered at the origin. The link is a stable map γf: N→ S1, where N is diffeomorphic to a sphere S2 minus 2L disks. We define a complete topological invariant called the generalized Reeb graph. Finally, we apply our results to give a topological description of some map germs with Boardman symbol Σ 2 , 1.
Descrição
Palavras-chave
Idioma
Inglês
Como citar
Bulletin of the Brazilian Mathematical Society, v. 49, n. 2, p. 369-394, 2018.
