14 citations · 42 across the 17 of their papers we have counts for
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math.LO2011
Connected components of definable groups, and o-minimality II
Annalisa Conversano, Anand Pillay
We study the connected components G^00, G^000 and their quotients for a group G definable in a saturated o-minimal expansion of a real closed field. We show that G^00/G^000 is natu…
math.LO2011★ 1 cited
Connected components of definable groups and o-minimality I
Annalisa Conversano, Anand Pillay
We give examples of groups G such that G^00 is different from G^000. We also prove that for groups G definable in an o-minimal structure, G has a "bounded orbit" iff G is definably…
math.LO2011
Groups definable in o-minimal structures: structure theorem, G^000, definable amenability and bounded orbits
Anand Pillay
We settle some open problems in the special case of groups in o-minimal structures, such as the equality of G^00 and G^000 and the equivalence of definable amenability and existenc…