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.
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| - Nekonečná kombinatorika (cs)
- Infinitary combinatorics (en)
- Combinatória infinitária (pt)
- 無窮元組合學 (zh)
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| - 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)
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| - 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)
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