TOPOLOGICAL CLASSIFICATION OF CIRCLE-VALUED SIMPLE MORSE-BOTT FUNCTIONS

dc.contributorUniv Fed Cariri
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2019-10-04T12:34:22Z
dc.date.accessioned2022-12-19T18:05:22Z
dc.date.available2019-10-04T12:34:22Z
dc.date.available2022-12-19T18:05:22Z
dc.date.created2019-10-04T12:34:22Z
dc.date.issued2018-01-01
dc.identifierJournal Of Singularities. Cambridge: Worldwide Center Mathematics, Llc, v. 17, p. 388-402, 2018.
dc.identifier1949-2006
dc.identifierhttp://hdl.handle.net/11449/185304
dc.identifier10.5427/jsing.2018.17q
dc.identifierWOS:000455529700006
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/5366357
dc.description.abstractIn 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.
dc.languageeng
dc.publisherWorldwide Center Mathematics, Llc
dc.relationJournal Of Singularities
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectTopological invariant
dc.subjectMorse-Bott functions
dc.subjectReeb graph
dc.subjecttopological equivalence
dc.subjectrealization theorem
dc.titleTOPOLOGICAL CLASSIFICATION OF CIRCLE-VALUED SIMPLE MORSE-BOTT FUNCTIONS
dc.typeArtículos de revistas


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