Tychonoff's theorem
In mathematics, Tychonoff's theorem states that the product of any collection of compact topological spaces is compact with respect to the product topology. The theorem is named after Andrey Nikolayevich Tikhonov (whose surname sometimes is transcribed Tychonoff), who proved it first in 1930 for powers of the closed unit interval and in 1935 stated the full theorem along with the remark that its proof was the same as for the special case. The earliest known published proof is contained in a 1937 paper of Eduard Čech.
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Andrey Nikolayevich TikhonovAxiom of choiceBaire setBanach spaceBanach–Alaoglu theoremBoolean prime ideal theoremCantor setCompact spaceCompactification (mathematics)Compactness theoremCurtis–Hedlund–Lyndon theoremDe Bruijn–Erdős theorem (graph theory)Direct productEduard ČechFilters in topologyFinite intersection propertyFormal power seriesFunction of several complex variablesFundamental theorems of welfare economicsGarden of Eden (cellular automaton)General topologyHaar measureHilbert cubeInfinite-dimensional Lebesgue measureInverse limitKakutani fixed-point theoremKőnig's lemmaLeonidas AlaogluList of Russian mathematiciansList of Russian peopleList of Russian scientistsList of general topology topicsList of mathematical proofsList of theoremsLocally convex topological vector spaceMaximal and minimal elementsNet (mathematics)Non-measurable setNormal spaceParacompact space
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Tychonoff's theorem
In mathematics, Tychonoff's theorem states that the product of any collection of compact topological spaces is compact with respect to the product topology. The theorem is named after Andrey Nikolayevich Tikhonov (whose surname sometimes is transcribed Tychonoff), who proved it first in 1930 for powers of the closed unit interval and in 1935 stated the full theorem along with the remark that its proof was the same as for the special case. The earliest known published proof is contained in a 1937 paper of Eduard Čech.
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Em matemática, e em especial e ...... ta hora com o lema de Urysohn.
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En topología, el teorema de Tí ...... debe su nombre a Pável Urysón.
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In de topologie, een deelgebie ...... len met het lemma van Urysohn.
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In matematica, e più precisame ...... ante della topologia generale.
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In mathematics, Tychonoff's th ...... al spaces based on fuzzy sets.
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Le théorème de Tychonov (ou Ty ...... e faible de cet axiome suffit.
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Tichonovova věta je matematick ...... 9 Andrej Nikolajevič Tichonov.
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Twierdzenie Tichonowa – twierd ...... n zaszczyt z lematem Urysohna.
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Tychonoffs sats är ett viktigt ...... m är kompakt med avseende på .
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Якщо — компактні топологічні п ...... ським математиком в 1935 році.
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Tychonoff's_Theorem
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Tychonoff's Theorem
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Em matemática, e em especial e ...... artigo de 1937 de Eduard Čech.
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En topología, el teorema de Tí ...... tículo de 1937 de Eduard Čech.
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In de topologie, een deelgebie ...... ikel uit 1937 van Eduard Čech.
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In matematica, e più precisame ...... ritto del 1937 di Eduard Čech.
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In mathematics, Tychonoff's th ...... n a 1937 paper of Eduard Čech.
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Le théorème de Tychonov (ou Ty ...... le compactifié de Stone-Čech.
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Tichonovova věta je matematick ...... 9 Andrej Nikolajevič Tichonov.
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Twierdzenie Tichonowa – twierd ...... acy Eduarda Čecha z 1937 roku.
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Tychonoffs sats är ett viktigt ...... m är kompakt med avseende på .
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Якщо — компактні топологічні п ...... ським математиком в 1935 році.
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Satz von Tychonoff
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Stelling van Tychonov
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Teorema de Tychonoff
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Teorema de Tíjonov
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Teorema di Tichonov
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Théorème de Tykhonov
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Tichonovova věta
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Twierdzenie Tichonowa
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Tychonoff's theorem
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Tychonoffs sats
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