Topological K-equivalence of analytic function-germs

• Autorzy: Sérgio Alvarez , Lev Birbrair , João Costa , Alexandre Fernandes
• Języki publikacji: EN

Abstrakty

EN

We study the topological K-equivalence of function-germs (ℝn, 0) → (ℝ, 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.

Słowa kluczowe

EN

Topological K-equivalence; Topological equivalence; Function-germs

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 2
• Strony: 338-345

Daty

wydano

2010-04-01

online

2010-04-14

Twórcy

autor

Sérgio Alvarez

• Universidade Estadual Santa Cruz

autor

Lev Birbrair

• Universidade Federal do Ceara,

autor

João Costa

• Universidade Estadual Paulista,

autor

Alexandre Fernandes

• Universidade Federal do Ceara,

Bibliografia

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• [8] Nishimura T, C 0-K-determined map-germs, Trans. Amer. Math. Soc, 1989, 132(2), 621–639 54, Hermann, Paris 1997. http://dx.doi.org/10.2307/2001003
• [9] Prishlyak A., Topological equivalence of smooth functions with isolated critical points on a closed surface, Topology and Applications, 2002, 119(3), 257–267 http://dx.doi.org/10.1016/S0166-8641(01)00077-3
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Identyfikatory

DOI

10.2478/s11533-010-0013-8