| Home |
| About |
| Submission |
| Updating Entries |
| Using Entries |
| Search |
| Statistics |
| Index |
| Download |
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 |
| Status: [ok] | This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations. |
|
Proof outline Proof document |
| Browse theories |
| Download this entry |