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

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

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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