Abstract
We investigate the Baire category of \({\mathcal{I}}\)-convergent subsequences and rearrangements of a divergent sequence s = (sn) of reals if \({\mathcal{I}}\) is an ideal on \({\mathbb{N}}\) having the Baire property. We also discuss the measure of the set of \({\mathcal{I}}\)-convergent subsequences for some classes of ideals on \({\mathbb{N}}\). Our results generalize theorems due to H. Miller and C. Orhan [16].
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