Alex James Wilkie - Selected publications#


Integer-valued definable functions (with G Jones and M Thomas), Bull. Lond. Math. Soc. 2012.

A Schanuel property for exponentially transcendental powers (with M. Bays and J. Kirby), Bull. Lond. Math. Soc., 2010.

Locally polynomially bounded structures (with G Jones), Bull Lond. Math. Soc., 2008.

Some local definability theory for holomorphic functions, in 'Model Theory with Applications to Algebra and Analysis' (LMS Lecture note Series), 2008.

The rational points of a definable set (with J Pila), Duke Mathematical Journal, 2006.

Diophantine properties of sets definable in o-minimal structures, J Symb. Logic, 2004.

Quasianalytic Denjoy-Carleman classes (with J-P Rolin and P Speissegger), J Amer. Math. Soc., 2003

A theorem of the complement and some new o-minimal structures, Selecta Math., 1999.

On the decidability of the real exponential field (with A Macintyre), in 'Kreiseliana: about and around Georg Kreisel', 1996

Model completeness results for the real field expanded by restricted Pfaffian functions and the exponential function, J Amer. Math. Soc., 1996
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