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A proof of
Axiom of Choice → Zorn's Lemma
without transfinite induction (Nov. 13, 2011; Last update July 12, 2024)
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Journal version:
DOI:10.47443/dml.2023.143
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(permitted by the publisher)
A note on Tychonoff's Theorem and Axiom of Choice (Jan. 22, 2012; Last update Jan. 6, 2013)
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Note: The Outer Automorphism of S
6
(Apr. 13, 2015)
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Lecture Note: Combinatorics (Kyushu University, 2022) (Aug. 5, 2022)
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Examples of topics: bijective proofs, generating functions for sequences, Catalan numbers, Principle of Inclusion-Exclusion, ordered sets and lattices, well-ordered sets, ordinal numbers, Zorn's Lemma, graphs, matchings, Matrix-Tree Theorem, spectral gaps, expander graphs, Ramsey theory
Combinatorial Proofs for Some Number-Theoretic Facts (June 7, 2012)
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