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Definable quotients of locally definable groups. (English) Zbl 1273.03130
Summary: We study locally definable abelian groups $${\mathcal{U}}$$ in various settings and examine conditions under which the quotient of $${\mathcal{U}}$$ by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup $${\mathcal{U}^{00}}$$ and to the divisibility of $${\mathcal{U}}$$.

##### MSC:
 03C64 Model theory of ordered structures; o-minimality 06F20 Ordered abelian groups, Riesz groups, ordered linear spaces 20A15 Applications of logic to group theory
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##### References:
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