Abstract
We study the model theory of covers of groups definable in o-minimal
structures. This includes the case of covers of compact real Lie groups. In
particular we study categoricity questions, pointing out some notable dif-
ferences with the case of covers of complex algebraic groups studied by Zil-
ber and his students. We also discuss from a model theoretic point of view
the following question, related to “Milnor’s conjecture” in [Milnor:83]: is
every finite central extension of a compact Lie group isomorphic to a
topological extension?
structures. This includes the case of covers of compact real Lie groups. In
particular we study categoricity questions, pointing out some notable dif-
ferences with the case of covers of complex algebraic groups studied by Zil-
ber and his students. We also discuss from a model theoretic point of view
the following question, related to “Milnor’s conjecture” in [Milnor:83]: is
every finite central extension of a compact Lie group isomorphic to a
topological extension?
| Original language | English |
|---|---|
| Pages (from-to) | 473-496 |
| Journal | Confluentes Mathematici |
| Volume | 2 |
| Issue number | 4 |
| State | Published - 2010 |