Abstract
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.
Original language | American English |
---|---|
Pages (from-to) | 885-903 |
Number of pages | 19 |
Journal | Selecta Mathematica, New Series |
Volume | 18 |
Issue number | 4 |
DOIs | |
State | Published - Dec 2012 |
Keywords
- Definable quotients
- Locally definable groups
- O-minimality
- Type-definable groups
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy
- General Mathematics