dc.contributor | Universidade Federal do Cariri | |
dc.contributor | Universidade Estadual Paulista (Unesp) | |
dc.contributor | Universitat de València | |
dc.date.accessioned | 2018-12-11T17:16:03Z | |
dc.date.available | 2018-12-11T17:16:03Z | |
dc.date.created | 2018-12-11T17:16:03Z | |
dc.date.issued | 2018-06-01 | |
dc.identifier | Bulletin of the Brazilian Mathematical Society, v. 49, n. 2, p. 369-394, 2018. | |
dc.identifier | 1678-7544 | |
dc.identifier | http://hdl.handle.net/11449/175496 | |
dc.identifier | 10.1007/s00574-017-0058-4 | |
dc.identifier | 2-s2.0-85034217440 | |
dc.identifier | 2-s2.0-85034217440.pdf | |
dc.description.abstract | 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. | |
dc.language | eng | |
dc.relation | Bulletin of the Brazilian Mathematical Society | |
dc.relation | 0,406 | |
dc.rights | Acesso aberto | |
dc.source | Scopus | |
dc.subject | Classification | |
dc.subject | Link | |
dc.subject | Reeb graph | |
dc.subject | Topological equivalence | |
dc.title | The Reeb Graph of a Map Germ from R3 to R2 with Non Isolated Zeros | |
dc.type | Artículos de revistas | |