In partition calculus, part of combinatorial set theory, a branch of mathematics, the Erdős–Rado theorem is a basic result extending Ramsey's theorem to uncountable sets. It is named after Paul Erdős and Richard Rado. It is sometimes also attributed to Đuro Kurepa who proved it under the additional assumption of the generalised continuum hypothesis, and hence the result is sometimes also referred to as the Erdős–Rado–Kurepa theorem.
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| - Satz von Erdős-Rado (de)
- Erdős–Rado theorem (en)
- Twierdzenie Erdősa-Rado (pl)
- Теорема Эрдёша — Радо (ru)
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| - Der Satz von Erdős-Rado, benannt nach Paul Erdős und Richard Rado, ist ein mathematischer Satz aus dem Gebiet der Mengenlehre. Er trifft eine Aussage darüber, wie groß eine Menge sein muss, um eine gewisse Zerlegungseigenschaft zu haben. (de)
- In partition calculus, part of combinatorial set theory, a branch of mathematics, the Erdős–Rado theorem is a basic result extending Ramsey's theorem to uncountable sets. It is named after Paul Erdős and Richard Rado. It is sometimes also attributed to Đuro Kurepa who proved it under the additional assumption of the generalised continuum hypothesis, and hence the result is sometimes also referred to as the Erdős–Rado–Kurepa theorem. (en)
- Теорема Эрдёша — Радо — обобщениние теоремы Рамсея на несчётные множества.Названа в честь Пала Эрдёша и Ричарда Радо.Ранее Джюро Курепа доказал эту теорему в предположении обобщённой Континуум-гипотезы. (ru)
- Twierdzenie Erdősa-Rado – twierdzenie udowodnione przez Paula Erdősa i Richarda Rado będące rozszerzeniem twierdzenia Ramseya na zbiory odpowiednio dużej mocy. (pl)
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| - Der Satz von Erdős-Rado, benannt nach Paul Erdős und Richard Rado, ist ein mathematischer Satz aus dem Gebiet der Mengenlehre. Er trifft eine Aussage darüber, wie groß eine Menge sein muss, um eine gewisse Zerlegungseigenschaft zu haben. (de)
- In partition calculus, part of combinatorial set theory, a branch of mathematics, the Erdős–Rado theorem is a basic result extending Ramsey's theorem to uncountable sets. It is named after Paul Erdős and Richard Rado. It is sometimes also attributed to Đuro Kurepa who proved it under the additional assumption of the generalised continuum hypothesis, and hence the result is sometimes also referred to as the Erdős–Rado–Kurepa theorem. (en)
- Теорема Эрдёша — Радо — обобщениние теоремы Рамсея на несчётные множества.Названа в честь Пала Эрдёша и Ричарда Радо.Ранее Джюро Курепа доказал эту теорему в предположении обобщённой Континуум-гипотезы. (ru)
- Twierdzenie Erdősa-Rado – twierdzenie udowodnione przez Paula Erdősa i Richarda Rado będące rozszerzeniem twierdzenia Ramseya na zbiory odpowiednio dużej mocy. (pl)
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