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dc.contributor.authorNuño Ballesteros, J. J.
dc.contributor.authorSaia, M. J. [UNESP]
dc.date.accessioned2014-05-27T11:19:38Z
dc.date.available2014-05-27T11:19:38Z
dc.date.issued1998-12-01
dc.identifierhttp://dx.doi.org/10.1017/S0017089500032328
dc.identifier.citationGlasgow Mathematical Journal, v. 40, n. 1, p. 21-32, 1998.
dc.identifier.issn0017-0895
dc.identifier.urihttp://hdl.handle.net/11449/65573
dc.description.abstractWe define algebraically for each map germ f: Kn, 0→ Kp, 0 and for each Boardman symbol i = (il, . . ., ik) a number ci(f) which is script A sign-invariant. If f is finitely determined, this number is the generalization of the Milnor number of f when p = 1, the number of cusps of f when n = p = 2, or the number of cross caps when n = 2, p = 3. We study some properties of this number and prove that, in some particular cases, this number can be interpreted geometrically as the number of Σi points that appear in a generic deformation of f. In the last part, we compute this number in the case that the map germ is a projection and give some applications to catastrophe map germs.en
dc.format.extent21-32
dc.language.isoeng
dc.relation.ispartofGlasgow Mathematical Journal
dc.sourceScopus
dc.titleMultiplicity of Boardman strata and deformations of map germsen
dc.typeArtigo
dcterms.licensehttp://journals.cambridge.org/action/displaySpecialPage?pageId=4676
dc.contributor.institutionUniversitat de València
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.description.affiliationDepartament de Geometria i Topologia Universitat de València Campus de Burjassot, 46100 Burjassot
dc.description.affiliationInstituto de Geociências e Ciências Exatas Universidade Estadual Paulista Campus de Rio Claro, Caixa Postal 178, 13500-230, Rio Claro, SP
dc.description.affiliationUnespInstituto de Geociências e Ciências Exatas Universidade Estadual Paulista Campus de Rio Claro, Caixa Postal 178, 13500-230, Rio Claro, SP
dc.identifier.doi10.1017/S0017089500032328
dc.identifier.wosWOS:000072838400002
dc.rights.accessRightsAcesso restrito
dc.identifier.scopus2-s2.0-23544458047
dc.identifier.file2-s2.0-23544458047.pdf
dc.relation.ispartofjcr0.442
dc.relation.ispartofsjr0,604
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