We study locally definable abelian groups U in various settings and examine conditions under which the quotient of U by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup U 00 and to the divisibility of U.
Bibliographical noteFunding Information:
P. E. Eleftheriou was supported by the Fundação para a Ciência e a Tecnologia grants SFRH/BPD/35000/2007 and PTDC/MAT/101740/2008.
- Definable quotients
- Locally definable groups
- Type-definable groups
ASJC Scopus subject areas
- Mathematics (all)
- Physics and Astronomy (all)