Definable quotients of locally definable groups

Mathematics – Logic

Scientific paper

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Scientific paper

We study locally definable abelian groups $\CU$ in various settings and
examine conditions under which the quotient of $\CU$ by a discrete subgroup
might be definable. This turns out to be related to the existence of the
type-definable subgroup $\CU^{00}$ and to the divisibility of $\CU$.

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