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On sets ∀-definable from Pfaffian functions

Published online by Cambridge University Press:  12 March 2014

Ricardo Bianconi*
Affiliation:
Instituto de Matematica e Estatistica, Universidade De São Paulo, 01498 São Paulo, Brazil, E-mail: bianconi@ime.usp.br

Abstract

We prove the existence of a bound to the number of components of an ∀-definable set in the reals, using Pfaffian functions, and give some applications.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1992

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References

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