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math.LO2011★ 3 cited
Interpretable groups are definable
Janak Ramakrishnan, Ya'acov Peterzil, Pantelis Eleftheriou
We prove that in an arbitrary o-minimal structure, every interpretable group is definably isomorphic to a definable one. We also prove that every definable group lives in a cartesi…
math.LO2011
Definable quotients of locally definable groups
Pantelis Eleftheriou, Ya'acov Peterzil
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 o…