Well-quasi-ordering, the Tree Theorem, and Vazsonyi’s conjecture

Kruskal, J. B.

doi:10.1090/S0002-9947-1960-0111704-1

Transactions of the American Mathematical Society

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ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Well-quasi-ordering, the Tree Theorem, and Vazsonyi’s conjecture
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by J. B. Kruskal PDF

Trans. Amer. Math. Soc. 95 (1960), 210-225 Request permission

References

Graham Higman, Ordering by divisibility in abstract algebras, Proc. London Math. Soc. (3) 2 (1952), 326–336. MR 49867, DOI 10.1112/plms/s3-2.1.326

Well-partial-order and Rado’s conjecture

The theory of well-partially-ordered sets

B. H. Neumann, On ordered division rings, Trans. Amer. Math. Soc. 66 (1949), 202–252. MR 32593, DOI 10.1090/S0002-9947-1949-0032593-5
R. Rado, Partial well-ordering of sets of vectors, Mathematika 1 (1954), 89–95. MR 66441, DOI 10.1112/S0025579300000565