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4 papers · 2 filters
On compactifications and the topological dynamics of definable groups
Jakub Gismatullin, Davide Penazzi, Anand Pillay
We discuss definable compactifications and topological dynamics. For G a group definable in some structure M, we define notions of "definable" compactification of G and "definable"…
One-basedness and reductions of elliptic curves over real closed fields
Davide Penazzi
Building on the positive solution of Pillay's conjecture we present a notion of "intrinsic" reduction for elliptic curves over a real closed field K. We compare such notion with th…
On the canonical base property
Ehud Hrushovski, Daniel Palacin, Anand Pillay
We give an example of a finite rank, in fact aleph-1 categorical theory where the CBP (canonical base property) does not hold. We include a "group-like" example. We also prove, in…
Borel equivalence relations and Lascar strong types
Krzysztof Krupinski, Anand Pillay, Slawomir Solecki
The space of Lascar strong types, on some sort and relative to a given first order theory T, is in general not a compact Hausdorff space. This paper has at least three aims. First…