TMD is a new class of topological groups with tractable minimal dynamics, characterized by several equivalent conditions, equal to GPP on Polish groups, admitting an abstract KPT correspondence, and yielding a forcing-based proof of the revised Newelski conjecture for all definable NIP groups.
Auslander,Regular minimal sets
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Topological groups with tractable minimal dynamics
TMD is a new class of topological groups with tractable minimal dynamics, characterized by several equivalent conditions, equal to GPP on Polish groups, admitting an abstract KPT correspondence, and yielding a forcing-based proof of the revised Newelski conjecture for all definable NIP groups.