Skip to main content Accessibility help

On well-quasi-ordering finite trees

  • C. St. J. A. Nash-Williams (a1)


A new and simple proof is given of the known theorem that, if T1, T2,… is an infinite sequence of finite trees, then there exist i and j such that i < j and Ti is homeomorphic to a subtree of Tj.



Hide All
(1)Higman, G.Ordering by divisibility in abstract algebras. Proc. London Math. Soc. (3), 2 (1952), 326336
(2)Kruskal, J. B.Well-quasi-ordering, the tree theorem, and Vázsonyi's conjecture. Trans. American Math. Soc 95 (1960), 210225
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed