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Convergence preserving permutations of \(\mathbb{N}\) and Fréchet's space of permutations of \(\mathbb{N}\) - MaRDI portal

Convergence preserving permutations of \(\mathbb{N}\) and Fréchet's space of permutations of \(\mathbb{N}\) (Q2702783)

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English
Convergence preserving permutations of \(\mathbb{N}\) and Fréchet's space of permutations of \(\mathbb{N}\)
scientific article

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    13 March 2001
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    convergence preserving permutation
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    residual set
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    uniformly distributed sequence
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    porous set
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    Convergence preserving permutations of \(\mathbb{N}\) and Fréchet's space of permutations of \(\mathbb{N}\) (English)
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    The paper deals with the metric space of all permutations of positive integers, equipped with the Fréchet metric. From the topological point of view the authors investigate in this metric space various sets of these permutations which preserve the convergence of infinite series.
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