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Adding Multiplication to an O-minimal Expansion of the Additive Group of Real Numbers

Published online by Cambridge University Press:  31 March 2017

Yaácov Peterzil
Affiliation:
Haifa University, Israel
Patrick Speissegger
Affiliation:
University of Toronto, Canada
Sergei Starchenko
Affiliation:
University of Notre Dame, USA
Samuel R. Buss
Affiliation:
University of California, San Diego
Petr Hájek
Affiliation:
Academy of Sciences of the Czech Republic, Prague
Pavel Pudlák
Affiliation:
Academy of Sciences of the Czech Republic, Prague
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Logic Colloquium '98 , pp. 357 - 362
Publisher: Cambridge University Press
Print publication year: 2000

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References

L., van den Dries, Tame Topology and O-minimal Structures, no. 248 in LMS Lecture Note Series, Cambridge University Press, 1998.
M., Edmundo, Structure theorems for o-minimal expansions of groups. Preprint, 1997.
M.C., Laskowski and C., Steinhorn, On o-minimal expansions of archimedean ordered groups, J., Symbolic Logic, 60 (1995), pp. 817–831.Google Scholar
Y., Peterzil, A., Pillay, and S., Starchenko, Definably simple groups in o-minimal structures. Preprint, 1998; to appear in Trans. Amer. Math. Soc.
L.S., Pontryagin, Topological Groups, Gordon and Breach, 1966.
P., Speissegger, The pfaffian closure of an o-minimal structure. Preprint, 1997; to appear in J. Reine Angew. Math.

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