A dichotomy for expansions of the real field

Antongiulio Fornasiero,Philipp Hieronymi,Chris Miller

A dichotomy for expansions of the real field

2011

Antongiulio Fornasiero
Philipp Hieronymi
Chris Miller

A dichotomy for expansions of the real field is established: Either the set of integers is definable or every nonempty bounded nowhere dense definable subset of the real numbers has Minkowski dimension zero.

Keywords:

Discrete mathematics
Combinatorics
Real number
Minkowski–Bouligand dimension
Bounded function
Nowhere dense set
Mathematics
Integer
real field

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