An Entity of Type: Abstraction100002137, from Named Graph: http://dbpedia.org, within Data Space: dbpedia.org

In mathematical logic, an omega-categorical theory is a theory that has exactly one countably infinite model up to isomorphism. Omega-categoricity is the special case κ = = ω of κ-categoricity, and omega-categorical theories are also referred to as ω-categorical. The notion is most important for countable first-order theories.

Property Value
dbo:abstract
  • Der Satz von Ryll-Nardzewski ist ein Satz aus der Modelltheorie, einem mathematischen Teilgebiet der Logik. Er charakterisiert -kategorische Theorien. Benannt ist er nach dem polnischen Mathematiker Czesław Ryll-Nardzewski. (de)
  • In mathematical logic, an omega-categorical theory is a theory that has exactly one countably infinite model up to isomorphism. Omega-categoricity is the special case κ = = ω of κ-categoricity, and omega-categorical theories are also referred to as ω-categorical. The notion is most important for countable first-order theories. (en)
dbo:wikiPageExternalLink
dbo:wikiPageID
  • 26628083 (xsd:integer)
dbo:wikiPageLength
  • 4862 (xsd:nonNegativeInteger)
dbo:wikiPageRevisionID
  • 1033795516 (xsd:integer)
dbo:wikiPageWikiLink
dbp:wikiPageUsesTemplate
dcterms:subject
rdf:type
rdfs:comment
  • Der Satz von Ryll-Nardzewski ist ein Satz aus der Modelltheorie, einem mathematischen Teilgebiet der Logik. Er charakterisiert -kategorische Theorien. Benannt ist er nach dem polnischen Mathematiker Czesław Ryll-Nardzewski. (de)
  • In mathematical logic, an omega-categorical theory is a theory that has exactly one countably infinite model up to isomorphism. Omega-categoricity is the special case κ = = ω of κ-categoricity, and omega-categorical theories are also referred to as ω-categorical. The notion is most important for countable first-order theories. (en)
rdfs:label
  • Satz von Ryll-Nardzewski (de)
  • Omega-categorical theory (en)
owl:sameAs
prov:wasDerivedFrom
foaf:isPrimaryTopicOf
is dbo:wikiPageRedirects of
is dbo:wikiPageWikiLink of
is foaf:primaryTopic of
Powered by OpenLink Virtuoso    This material is Open Knowledge     W3C Semantic Web Technology     This material is Open Knowledge    Valid XHTML + RDFa
This content was extracted from Wikipedia and is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License