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2007.200: Locally polynomially bounded structures

2007.200: A.J. Wilkie and Gareth Jones (2007) Locally polynomially bounded structures. Bulletin of the London Mathematical Society.

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We prove a theorem which provides a method for constructing points on varieties defined by certain smooth functions. We require that the functions are definable in a definably complete expansion of a real closed field and are locally definable in a fixed o-minimal and polynomially bounded reduct. As an application we show that in certain o-minimal structures definable functions are piecewise implicitly defined over the basic functions in the language.

Item Type:Other
Subjects:MSC 2000 > 03 Mathematical logic and foundations
MIMS number:2007.200
Deposited By:Mrs Louise Healey
Deposited On:21 November 2007

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