In the area of mathematics known as Ramsey theory, a Ramsey class is one which satisfies a generalization of Ramsey's theorem. Suppose , and are structures and is a positive integer. We denote by the set of all subobjects of which are isomorphic to . We further denote by the property that for all partitions of there exists a and an such that . Ramsey's theorem is equivalent to the statement that the class of all finite sets is a Ramsey class.
Property | Value |
---|---|
dbo:abstract |
|
dbo:wikiPageID |
|
dbo:wikiPageLength |
|
dbo:wikiPageRevisionID |
|
dbo:wikiPageWikiLink | |
dbp:wikiPageUsesTemplate | |
dcterms:subject | |
rdfs:comment |
|
rdfs:label |
|
owl:sameAs | |
prov:wasDerivedFrom | |
foaf:isPrimaryTopicOf | |
is foaf:primaryTopic of |