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Extremal Set Theory: Sperner's Theorem

MIT 18.226 Probabilistic Methods in Combinatorics, Fall 2024 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/courses/18-226-probabilistic-methods-in-combinatorics-fall-2022/ ...
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The Perfect Set Theorem and Definable Wellorderings of the Continuum

Let Γ be a collection of relations on the reals and let M be a set of reals. We call M a perfect set basis for Γ if every set in Γ with parameters from M which is not totally included in M contains a ...