dbo:abstract |
Nekonečná kombinatorika studuje kombinatorické vlastnosti nekonečných množin. Významnou roli v ní hrají kardinální čísla a jejich vlastnosti. (cs) In mathematics, infinitary combinatorics, or combinatorial set theory, is an extension of ideas in combinatorics to infinite sets.Some of the things studied include continuous graphs and trees, extensions of Ramsey's theorem, and Martin's axiom.Recent developments concern combinatorics of the continuum and combinatorics on successors of singular cardinals. (en) Em matemática, combinatória infinitária é uma extensão das ideias de combinatória para conjuntos infinitos.Algumas das coisas estudadas incluem grafos contínuos e árvores, extensões do Teorema Finito de Ramsey, e axioma de Martin. Desenvolvimentos recentes preocuparam-se com combinatória do contínuo e combinatória em sucessores de cardinais singulares. (pt) 數學分支無窮元組合學(infinitary combinatorics),又稱組合集合論(combinatorial set theory),是將組合學的想法推廣到無窮集。研究對象有連續圖、集合論的樹、拉姆齊定理在無窮集的推廣、馬丁公理。在2010年,本分支的開展的研究還有:連續統上的組合學、後繼上的組合學。 (zh) |
dbo:wikiPageExternalLink |
https://www.ams.org/bull/1956-62-05/S0002-9904-1956-10036-0/%7Cdoi=10.1090/S0002-9904-1956-10036-0%7Cissue=5%7Cdoi-access=free |
dbo:wikiPageID |
15959032 (xsd:integer) |
dbo:wikiPageLength |
5459 (xsd:nonNegativeInteger) |
dbo:wikiPageRevisionID |
1020386276 (xsd:integer) |
dbo:wikiPageWikiLink |
dbr:American_Journal_of_Mathematics dbr:Donald_A._Martin dbr:Infinite_set dbr:Continuum_(set_theory) dbr:Erdős_cardinal dbr:Erdős–Dushnik–Miller_theorem dbr:Erdős–Rado_theorem dbr:Combinatorics dbc:Set_theory dbr:Tree_(set_theory) dbr:Large_cardinal dbc:Combinatorics dbr:Partition_of_a_set dbr:Cardinal_number dbr:Weakly_compact_cardinal dbr:Axiom_of_choice dbr:Axiom_of_determinacy dbr:Ramsey's_theorem dbr:Martin's_axiom dbr:Set_Theory:_An_Introduction_to_Independence_Proofs dbr:Ramsey_cardinal dbr:Subset dbr:Continuous_graph dbr:Homogeneous_set |
dbp:wikiPageUsesTemplate |
dbt:Citation dbt:Cite_book dbt:Harvtxt |
dct:subject |
dbc:Set_theory dbc:Combinatorics |
gold:hypernym |
dbr:Extension |
rdf:type |
dbo:Software |
rdfs:comment |
Nekonečná kombinatorika studuje kombinatorické vlastnosti nekonečných množin. Významnou roli v ní hrají kardinální čísla a jejich vlastnosti. (cs) In mathematics, infinitary combinatorics, or combinatorial set theory, is an extension of ideas in combinatorics to infinite sets.Some of the things studied include continuous graphs and trees, extensions of Ramsey's theorem, and Martin's axiom.Recent developments concern combinatorics of the continuum and combinatorics on successors of singular cardinals. (en) Em matemática, combinatória infinitária é uma extensão das ideias de combinatória para conjuntos infinitos.Algumas das coisas estudadas incluem grafos contínuos e árvores, extensões do Teorema Finito de Ramsey, e axioma de Martin. Desenvolvimentos recentes preocuparam-se com combinatória do contínuo e combinatória em sucessores de cardinais singulares. (pt) 數學分支無窮元組合學(infinitary combinatorics),又稱組合集合論(combinatorial set theory),是將組合學的想法推廣到無窮集。研究對象有連續圖、集合論的樹、拉姆齊定理在無窮集的推廣、馬丁公理。在2010年,本分支的開展的研究還有:連續統上的組合學、後繼上的組合學。 (zh) |
rdfs:label |
Nekonečná kombinatorika (cs) Infinitary combinatorics (en) Combinatória infinitária (pt) 無窮元組合學 (zh) |
owl:sameAs |
freebase:Infinitary combinatorics wikidata:Infinitary combinatorics dbpedia-cs:Infinitary combinatorics dbpedia-mk:Infinitary combinatorics dbpedia-pt:Infinitary combinatorics dbpedia-zh:Infinitary combinatorics https://global.dbpedia.org/id/4nTTZ |
prov:wasDerivedFrom |
wikipedia-en:Infinitary_combinatorics?oldid=1020386276&ns=0 |
foaf:isPrimaryTopicOf |
wikipedia-en:Infinitary_combinatorics |
is dbo:wikiPageRedirects of |
dbr:Ordinary_partition_symbol dbr:Combinatorial_set_theory dbr:Set-theoretic_combinatorics dbr:Arrow_notation_(Ramsey_theory) dbr:Hungarian_set_theory dbr:Continuous_combinatorics dbr:Partition_calculus dbr:Partition_relation dbr:Partition_symbol dbr:Infinite_Ramsey_theory |
is dbo:wikiPageWikiLink of |
dbr:Ronald_Jensen dbr:Arrow_notation dbr:Glossary_of_areas_of_mathematics dbr:Erdős–Dushnik–Miller_theorem dbr:Matthew_Foreman dbr:Graham–Rothschild_theorem dbr:History_of_mathematical_notation dbr:SymPy dbr:Jean_A._Larson dbr:Vera_Fischer_(mathematician) dbr:Outline_of_combinatorics dbr:Slicing_the_Truth dbr:Ordinary_partition_symbol dbr:Combinatorial_set_theory dbr:Set-theoretic_combinatorics dbr:Arrow_notation_(Ramsey_theory) dbr:Hungarian_set_theory dbr:Continuous_combinatorics dbr:Partition_calculus dbr:Partition_relation dbr:Partition_symbol dbr:Infinite_Ramsey_theory |
is foaf:primaryTopic of |
wikipedia-en:Infinitary_combinatorics |