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More than a 0-point

Jana Flašková — 2006

Commentationes Mathematicae Universitatis Carolinae

We construct in ZFC an ultrafilter U ∈ ℕ * such that for every one-to-one function f : ℕ → ℕ there exists U ∈ U with f [ U ] in the summable ideal, i.e. the sum of reciprocals of its elements converges. This strengthens Gryzlov’s result concerning the existence of 0 -points.

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