SOME CONSIDERATIONS ABOUT SIMPLE MODALITY

Hermes Antonio PEDROSO1

Wilson Maurício TANDINI[1]

§    ABSTRACT: In this work we present some considerations about the concept of Modality, That was introduced in the Theory oh Singularities by V. I. Arnol’d, in the beginning of the seventies. We also present the normal forms that were shown in his classification for the case 0, 1 and 2- modalities. In the case of 0-modality ( simple modality), our contribution is to show that a restriction asked by Arnol’d is unnecessary.

§    KEYWORDS: Modality; simple modality; singularities..

 

 



[1] Departamento de Matemática – Instituto de Biociências, Letras e Ciências Exatas – UNESP – 15054-000 –São José do Rio Preto – SP.