Abstract
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 \({\mathcal{U}}\) .
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