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These are my notes on the lecture Probability Theory,


\gist{%


These are my notes on the lecture


Logic 3: Abstract Topological Dynamics and Descriptive Set Theory


taught by \textsc{Aleksandra Kwiatkowska}


in the summer term 2023 at the University Münster.





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This notes follow the way the material was presented in the lecture rather


closely. Additions (e.g.~from exercise sheets)


and slight modifications have been marked with $\dagger$.


}{


This document aims to give a very brief summary of


my \href{https://josianotes.users.abstractnonsen.se/w23logic3/logic3.pdf}{notes on the course Logic 3}.


I try to omit most technical details and only summarize the most important


ideas.




Note that this is currently work in progress.


Currently the differences to the original document are only


minor (this is still mostly a technical test),


but this document will get shorter as I work through


and summarize it.


}





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Continuation of sheet 8, exercise 4.


% Whiteboard https://wbo.ophir.dev/boards/Dphc7eylJJcIA0WbQsn7jzec1domqyx51gXb5qe6rzw#263,0,0.5




\begin{definition}


Let $X$ be a compact metric space.




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