There are a few, indeed.

Of course, it will depend on what topics we end up emphasizing, but for example the discussion of infinite games is a natural place to mention regularity properties of sets of reals (Lebesgue measurability, Baire property, perfect set property) which is an essential ingredient of the `classical’ part of descriptive set theory, and when discussing trees one may talk about Suslin sets of reals, which easily leads to a discussion of nice dichotomy theorems for equivalence relations, which is the center of much current research in descriptive set theory.

Again, whether we end up covering all or part of this will depend on what topics we end up emphasizing as the course goes on.

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