Topological K and A equivalences of polynomial functions

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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Abstract:

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.

Keywords:

C^0-A-equivalence, triangulation of functions

Mathematical Subject Classification:

Primary 32S05; Secondary 58K15, 32S50

Author(s) information: