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A FUNDAMENTAL DICHOTOMY FOR DEFINABLY COMPLETE EXPANSIONS OF ORDERED FIELDS

Published online by Cambridge University Press:  22 December 2015

ANTONGIULIO FORNASIERO
Affiliation:
SECONDA UNIVERSITÀ DI NAPOLI VIALE LINCOLN 5 81100 CASERTAITALYE-mail:[email protected]: http://www.dm.unipi.it/∼fornasiero
PHILIPP HIERONYMI
Affiliation:
UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN DEPARTMENT OF MATHEMATICS 1409 W. GREEN STREET URBANA, IL 61801, USAE-mail: [email protected]

Abstract

An expansion of a definably complete field either defines a discrete subring, or the image of every definable discrete set under every definable map is nowhere dense. As an application we show a definable version of Lebesgue’s differentiation theorem.

Type
Articles
Copyright
Copyright © The Association for Symbolic Logic 2015 

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References

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