A Fundamental Dichotomy for definably Complete expansions of Ordered Fields

نویسندگان

  • Antongiulio Fornasiero
  • Philipp Hieronymi
چکیده

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.

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عنوان ژورنال:
  • J. Symb. Log.

دوره 80  شماره 

صفحات  -

تاریخ انتشار 2015