2015
DOI: 10.1515/ms-2015-0099
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The Family F of Permutations of ℕ

Abstract: The paper is sacrificed to discussing the property of some special subfamily F of the family of all permutations of ℕ, especially in the context of the fundamental properties of families C and D of the, so called, convergent and divergent permutations, in other words, permutations preserving or not preserving the convergence of the rearranged real series, respectively. Family F is the subgroup of the group G generated by C. In the paper we will prove, among others, that F ⊂ C

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Cited by 2 publications
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“…. , k. The respective example of permutation p ∈ C 2 ∩I is given also in paper [23]. Then the relation D 3 ∩ I = / 0 results from the inclusion (13.6) for n = 2.…”
Section: Theorem 133 the Following Inclusions Holdmentioning
confidence: 94%
“…. , k. The respective example of permutation p ∈ C 2 ∩I is given also in paper [23]. Then the relation D 3 ∩ I = / 0 results from the inclusion (13.6) for n = 2.…”
Section: Theorem 133 the Following Inclusions Holdmentioning
confidence: 94%