Topological K and A equivalences of polynomial functions

L. Birbrair and J. J. Nuño-Ballesteros

Journal of Singularities
volume 6 (2012), 15-18
Proceedings of the Workshop on Singularities in Geometry and Applications, Będlewo, 5 – 21 May 2011

Received: 23 February 2012. Received in revised form: 2 April 2012.

DOI: 10.5427/jsing.2012.6b

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We give a simple proof that the germs of real polynomial functions from R^n to R are C^0-A-equivalent if they are PL-K-equivalent (for example, semialgebraically). No restriction on the polynomial functions is needed.


C^0-A-equivalence, triangulation of functions

Mathematical Subject Classification:

Primary 32S05; Secondary 58K15, 32S50

Author(s) information:

L. Birbrair J. J. Nuño-Ballesteros
Departamento de Matemática Departament de Geometria i Topologia
Universidade Federal do Ceará (UFC) Universitat de València
Campus do Picici Bloco 914 Campus de Burjassot
CEP 60455-760, Fortaleza CE, BRAZIL 46100 Burjassot SPAIN
email: email: