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Transactions of the American Mathematical Society

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


Author: J. B. Kruskal
Journal: Trans. Amer. Math. Soc. 95 (1960), 210-225
MSC: Primary 06.00
DOI: https://doi.org/10.1090/S0002-9947-1960-0111704-1
MathSciNet review: 0111704
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References [Enhancements On Off] (What's this?)

  • [1] Graham Higman, Ordering by divisibility in abstract algebras, Proc. London Math. Soc. vol. 2 (1952) pp. 326-336. MR 0049867 (14:238e)
  • [2] Joseph Kruskal, Well-partial-order and Rado's conjecture, submitted to the Proc. London Math. Soc.
  • [3] -, The theory of well-partially-ordered sets, June, 1954, Princeton University, doctoral thesis.
  • [4] B. H. Neumann, On ordered division rings, Trans. Amer. Math. Soc. vol. 66 (1949) pp. 202-346. MR 0032593 (11:311f)
  • [5] Richard Rado, Partial well-ordering of sets of vectors, Mathematika vol. 1 (1954) pp. 89-95. MR 0066441 (16:576b)

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DOI: https://doi.org/10.1090/S0002-9947-1960-0111704-1
Article copyright: © Copyright 1960 American Mathematical Society

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