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arXiv · 1305.4767

A fundamental dichotomy for definably complete expansions of ordered fields

Antongiulio Fornasiero·Philipp Hieronymi
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Abstract

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

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Antongiulio Fornasiero, Philipp Hieronymi. 2013-05-21. A fundamental dichotomy for definably complete expansions of ordered fields. https://arxiv.org/abs/1305.4767

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