
London Mathematical Society and EPSRC Short Instructional Course  Model Theory
University of Leeds, 1823 July 2010
Lecture Course II  Background Reading
As prerequisites for the course I recommend sections 13 of the book
David Marker. Model theory, volume 217 of Graduate Texts in Mathematics.
SpringerVerlag, New York, 2002. An introduction.
It covers most of the basic model theory we need.
In particular some acquaintance with real closed fields (section 3.3) would
be good.
Our main text for ominimality is the book
Lou van den Dries. Tame topology and ominimal structures, volume 248 of Lo=
ndon Mathematical Society Lecture Note Series. Cambridge University Press, =
Cambridge, 1998.
Alternative texts of introductory style are
Anand Pillay, Charles Steinhorn. Definable sets in ordered structures. I.
Trans. Amer. Math. Soc., 295(2):565{592, 1986.
(with stronger emphasis on model theory)
and
Michel Coste. An Introduction to Ominimal Geometry
http://perso.univrennes1.fr/michel.coste/polyens/OMIN.pdf
(with stronger emphasis on geometry).
