diff --git a/metadata/entries/Hales_Jewett.toml b/metadata/entries/Hales_Jewett.toml --- a/metadata/entries/Hales_Jewett.toml +++ b/metadata/entries/Hales_Jewett.toml @@ -1,42 +1,42 @@ -title = "The Hales-Jewett Theorem" +title = "The Hales–Jewett Theorem" date = 2022-09-02 topics = [ "Mathematics/Combinatorics", ] abstract = """

This article is a formalisation of a proof of the -Hales--Jewett theorem presented in the textbook Ramsey +Hales–Jewett theorem presented in the textbook Ramsey Theory by Graham et al.

-

The Hales--Jewett theorem is a result in Ramsey Theory which +

The Hales–Jewett theorem is a result in Ramsey Theory which states that, for any non-negative integers $r$ and $t$, there exists a minimal dimension $N$, such that any $r$-coloured $N'$-dimensional cube over $t$ elements (with $N' \\geq N$) contains a monochromatic line. This theorem generalises Van der Waerden's Theorem, which has already been formalised in another AFP entry.

""" license = "bsd" note = "" [authors] [authors.sulejmani] email = "sulejmani_email" [authors.eberl] email = "eberl_email2" [authors.kreuzer] email = "kreuzer_email1" [contributors] [notify] sulejmani = "sulejmani_email1" [history] [extra] -[related] \ No newline at end of file +[related]