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- W2949865725 abstract "Let Dsubseteq mathbb{R} be closed and discrete and f:D^n to mathbb{R} be such that f(D^n) is somewhere dense. We show that (mathbb{R},+,cdot,f) defines the set of integers. As an application, we get that for every a,b in mathbb{R} with log_{a}(b)notin mathbb{Q}, the real field expanded by the two cyclic multiplicative subgroups generated by a and b defines the set of integers." @default.
- W2949865725 created "2019-06-27" @default.
- W2949865725 creator A5057206285 @default.
- W2949865725 date "2009-06-26" @default.
- W2949865725 modified "2023-09-27" @default.
- W2949865725 title "Defining the set of integers in expansions of the real field by a closed discrete set" @default.
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- W2949865725 hasPublicationYear "2009" @default.
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