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A nowhere convergent series of functions which is somewhere convergent after a typical change of signs - MaRDI portal

A nowhere convergent series of functions which is somewhere convergent after a typical change of signs (Q1769722)

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scientific article; zbMATH DE number 2151953
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A nowhere convergent series of functions which is somewhere convergent after a typical change of signs
scientific article; zbMATH DE number 2151953

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    A nowhere convergent series of functions which is somewhere convergent after a typical change of signs (English)
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    4 April 2005
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    In this interesting paper the authors answer a question of S. Konyagin in the negative. They construct, on any uncountable Polish space, a sequence of real valued continuous functions, whose associated infinite series diverges everywhere but for a typical change of signs, the altered series converges at least at one point.
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    everywhere divergent
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    Baire category
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    Cantor set
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    Polish space
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