The Nash-Williams Partition Theorem

 

Title: The Nash-Williams Partition Theorem
Author: Lawrence C. Paulson
Submission date: 2020-05-16
Abstract: In 1965, Nash-Williams discovered a generalisation of the infinite form of Ramsey's theorem. Where the latter concerns infinite sets of n-element sets for some fixed n, the Nash-Williams theorem concerns infinite sets of finite sets (or lists) subject to a “no initial segment” condition. The present formalisation follows a monograph on Ramsey Spaces by Todorčević.
BibTeX:
@article{Nash_Williams-AFP,
  author  = {Lawrence C. Paulson},
  title   = {The Nash-Williams Partition Theorem},
  journal = {Archive of Formal Proofs},
  month   = may,
  year    = 2020,
  note    = {\url{http://isa-afp.org/entries/Nash_Williams.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Used by: Ordinal_Partitions