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    • February 02, 2021
    • 17 minutes
    • Math
    • Set Theory
    • Topology
    Tychonoff's Theorem and Zorn's Lemma

    Tychonoff’s theorem proves that the product (even infinite) of compact spaces is also compact. The proof makes judicious use of Zorn’s lemma. In fact, it uses it so well, that I gained an appreciation for how fun the lemma can be.