BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Polish groups, strong type spaces and connected group components Rzepecki, Tomasz


In recent work with KrupiÅ ski, we showed that strong type spaces can be seen (in a strong sense) as quotients of compact Polish groups, and as a consequence. I will give a brief account of the argument, as well as describe some applications, such as showing that a non-definable analytic subgroup of a type-definable group has index continuum (and in particular, that an analytic subgroup cannot have countably infinite index).

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