Topological K-equivalence of analytic function-germs

Detalhes bibliográficos
Autor(a) principal: Alvarez, Sergio
Data de Publicação: 2010
Outros Autores: Birbrair, Lev, Ferreira Costa, Joao Carlos [UNESP], Fernandes, Alexandre
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.2478/s11533-010-0013-8
http://hdl.handle.net/11449/22145
Resumo: We study the topological K-equivalence of function-germs (a"e (n) , 0) -> (a"e, 0). We present some special classes of piece-wise linear functions and prove that they are normal forms for equivalence classes with respect to topological K-equivalence for definable functions-germs. For the case n = 2 we present polynomial models for analytic function-germs.
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spelling Topological K-equivalence of analytic function-germsTopological K-equivalenceTopological equivalenceFunction-germsWe study the topological K-equivalence of function-germs (a"e (n) , 0) -> (a"e, 0). We present some special classes of piece-wise linear functions and prove that they are normal forms for equivalence classes with respect to topological K-equivalence for definable functions-germs. For the case n = 2 we present polynomial models for analytic function-germs.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Univ Estadual Santa Cruz, Dept Matemat, Ilheus, BrazilUniversidade Federal do Ceará (UFC), Dept Matemat, Fortaleza, Ceara, BrazilUniv Estadual Paulista, Dept Matemat, Sao Jose do Rio Preto, BrazilUniv Estadual Paulista, Dept Matemat, Sao Jose do Rio Preto, BrazilCNPq: 300985/93-2CNPq: 300685/2008-4FAPESP: 07/01274-6VersitaUniv Estadual Santa CruzUniversidade Federal do Ceará (UFC)Universidade Estadual Paulista (Unesp)Alvarez, SergioBirbrair, LevFerreira Costa, Joao Carlos [UNESP]Fernandes, Alexandre2014-05-20T14:02:51Z2014-05-20T14:02:51Z2010-04-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article338-345http://dx.doi.org/10.2478/s11533-010-0013-8Central European Journal of Mathematics. Warsaw: Versita, v. 8, n. 2, p. 338-345, 2010.1895-1074http://hdl.handle.net/11449/2214510.2478/s11533-010-0013-8WOS:000276653400013Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengCentral European Journal of Mathematicsinfo:eu-repo/semantics/openAccess2021-10-22T17:27:36Zoai:repositorio.unesp.br:11449/22145Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:16:36.963739Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Topological K-equivalence of analytic function-germs
title Topological K-equivalence of analytic function-germs
spellingShingle Topological K-equivalence of analytic function-germs
Alvarez, Sergio
Topological K-equivalence
Topological equivalence
Function-germs
title_short Topological K-equivalence of analytic function-germs
title_full Topological K-equivalence of analytic function-germs
title_fullStr Topological K-equivalence of analytic function-germs
title_full_unstemmed Topological K-equivalence of analytic function-germs
title_sort Topological K-equivalence of analytic function-germs
author Alvarez, Sergio
author_facet Alvarez, Sergio
Birbrair, Lev
Ferreira Costa, Joao Carlos [UNESP]
Fernandes, Alexandre
author_role author
author2 Birbrair, Lev
Ferreira Costa, Joao Carlos [UNESP]
Fernandes, Alexandre
author2_role author
author
author
dc.contributor.none.fl_str_mv Univ Estadual Santa Cruz
Universidade Federal do Ceará (UFC)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Alvarez, Sergio
Birbrair, Lev
Ferreira Costa, Joao Carlos [UNESP]
Fernandes, Alexandre
dc.subject.por.fl_str_mv Topological K-equivalence
Topological equivalence
Function-germs
topic Topological K-equivalence
Topological equivalence
Function-germs
description We study the topological K-equivalence of function-germs (a"e (n) , 0) -> (a"e, 0). We present some special classes of piece-wise linear functions and prove that they are normal forms for equivalence classes with respect to topological K-equivalence for definable functions-germs. For the case n = 2 we present polynomial models for analytic function-germs.
publishDate 2010
dc.date.none.fl_str_mv 2010-04-01
2014-05-20T14:02:51Z
2014-05-20T14:02:51Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.2478/s11533-010-0013-8
Central European Journal of Mathematics. Warsaw: Versita, v. 8, n. 2, p. 338-345, 2010.
1895-1074
http://hdl.handle.net/11449/22145
10.2478/s11533-010-0013-8
WOS:000276653400013
url http://dx.doi.org/10.2478/s11533-010-0013-8
http://hdl.handle.net/11449/22145
identifier_str_mv Central European Journal of Mathematics. Warsaw: Versita, v. 8, n. 2, p. 338-345, 2010.
1895-1074
10.2478/s11533-010-0013-8
WOS:000276653400013
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Central European Journal of Mathematics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 338-345
dc.publisher.none.fl_str_mv Versita
publisher.none.fl_str_mv Versita
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129303991287808

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