The pillay group
Webbwww.facebook.com Webb4 maj 2024 · Let G be a group definable in a weakly o-minimal non-valuational structure M. Then G / G 00, equipped with the logic topology, is a compact Lie group, and if G has finitely satisfiable generics, then dim (G / G 00) = dim (G). Our main technical result is that G is a dense subgroup of a group definable in the canonical o-minimal extension of M.
The pillay group
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