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- In mathematics, more specifically in general topology, the Tychonoff cube is the generalization of the unit cube from the product of a finite number of unit intervals to the product of an infinite, even uncountable number of unit intervals. The Tychonoff cube is named after Andrey Tychonoff, who first considered the arbitrary product of topological spaces and who proved in the 1930s that the Tychonoff cube is compact. Tychonoff later generalized this to the product of collections of arbitrary compact spaces. This result is now known as Tychonoff's theorem and is considered one of the most important results in general topology. (en)
- Kostka Tichonowa – konstrukcja mnogościowa w topologii, będąca przykładem przestrzeni uniwersalnej dla przestrzeni Tichonowa i przestrzeni zwartych. (pl)
- Em matemática, mas especificamente em topologia, o cubo de Tychonoff é a generalização do cubo unitário . A nomeação é devida a Andrey Tychonoff, por seu pioneirismo em considerar produtos arbitrários de espaços topológicos. (pt)
- Тихоновский куб в общей топологии — единичный куб в -мерном пространстве, где — произвольное бесконечное кардинальное число, называемое весом куба (оно равно весу тихоновского куба как топологического пространства), то есть, -кратное прямое произведение (с топологией произведения) единичного отрезка , где . Введён в 1929 году Андреем Николаевичем Тихоновым. (ru)
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- In mathematics, more specifically in general topology, the Tychonoff cube is the generalization of the unit cube from the product of a finite number of unit intervals to the product of an infinite, even uncountable number of unit intervals. The Tychonoff cube is named after Andrey Tychonoff, who first considered the arbitrary product of topological spaces and who proved in the 1930s that the Tychonoff cube is compact. Tychonoff later generalized this to the product of collections of arbitrary compact spaces. This result is now known as Tychonoff's theorem and is considered one of the most important results in general topology. (en)
- Kostka Tichonowa – konstrukcja mnogościowa w topologii, będąca przykładem przestrzeni uniwersalnej dla przestrzeni Tichonowa i przestrzeni zwartych. (pl)
- Em matemática, mas especificamente em topologia, o cubo de Tychonoff é a generalização do cubo unitário . A nomeação é devida a Andrey Tychonoff, por seu pioneirismo em considerar produtos arbitrários de espaços topológicos. (pt)
- Тихоновский куб в общей топологии — единичный куб в -мерном пространстве, где — произвольное бесконечное кардинальное число, называемое весом куба (оно равно весу тихоновского куба как топологического пространства), то есть, -кратное прямое произведение (с топологией произведения) единичного отрезка , где . Введён в 1929 году Андреем Николаевичем Тихоновым. (ru)
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- Kostka Tichonowa (pl)
- Cubo de Tychonoff (pt)
- Tychonoff cube (en)
- Тихоновский куб (ru)
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