Abstract

The scope of the paper is the analysis of the convergence classes of different permutations of N. In this paper we prove that with any divergent permutation p it could be associated a family D(p) of divergent permutations having the power of the continuum and such that the convergence class of p is a proper subset of the convergence class of q for every q 2 D(p). Also, the convergence classes of the countable families of divergent permutations are discussed here.

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