TOPOLOGICAL CLASSIFICATION OF CIRCLE-VALUED SIMPLE MORSE-BOTT FUNCTIONS
| dc.contributor.author | Batista, E. B. | |
| dc.contributor.author | Costa, J. C. F. [UNESP] | |
| dc.contributor.author | Meza-Sarmiento, I. S. [UNESP] | |
| dc.contributor.institution | Univ Fed Cariri | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.date.accessioned | 2019-10-04T12:34:22Z | |
| dc.date.available | 2019-10-04T12:34:22Z | |
| dc.date.issued | 2018-01-01 | |
| dc.description.abstract | In this work, we investigate the classification of Morse-Bott functions from S-2 to S-1, up to topological conjugacy. We give a complete topological invariant of simple Morse-Bott functions f : S-2 -> S-1. The invariant is based on the generalized Reeb graph associated to f (called here MB-Reeb graph). Moreover, a realization theorem is obtained. | en |
| dc.description.affiliation | Univ Fed Cariri, Ctr Ciencias & Tecnol, BR-63048080 Juazeiro Do Norte, Ceara, Brazil | |
| dc.description.affiliation | UNESP, Dept Matemat, Campus Sao Jose Rio Preto SP, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil | |
| dc.description.affiliationUnesp | UNESP, Dept Matemat, Campus Sao Jose Rio Preto SP, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil | |
| dc.description.sponsorship | Federal University of Cariri - UFCA | |
| dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description.sponsorship | Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) | |
| dc.format.extent | 388-402 | |
| dc.identifier | http://dx.doi.org/10.5427/jsing.2018.17q | |
| dc.identifier.citation | Journal Of Singularities. Cambridge: Worldwide Center Mathematics, Llc, v. 17, p. 388-402, 2018. | |
| dc.identifier.doi | 10.5427/jsing.2018.17q | |
| dc.identifier.issn | 1949-2006 | |
| dc.identifier.uri | http://hdl.handle.net/11449/185304 | |
| dc.identifier.wos | WOS:000455529700006 | |
| dc.language.iso | eng | |
| dc.publisher | Worldwide Center Mathematics, Llc | |
| dc.relation.ispartof | Journal Of Singularities | |
| dc.rights.accessRights | Acesso restrito | |
| dc.source | Web of Science | |
| dc.subject | Topological invariant | |
| dc.subject | Morse-Bott functions | |
| dc.subject | Reeb graph | |
| dc.subject | topological equivalence | |
| dc.subject | realization theorem | |
| dc.title | TOPOLOGICAL CLASSIFICATION OF CIRCLE-VALUED SIMPLE MORSE-BOTT FUNCTIONS | en |
| dc.type | Artigo | |
| dcterms.rightsHolder | Worldwide Center Mathematics, Llc | |
| dspace.entity.type | Publication | |
| unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |
| unesp.department | Matemática - IBILCE | pt |