Filter convergence in $βω$

Details Filter convergence in $βω$ Filter convergence in $βω$

2012-04-13

arxiv.org/abs/1204.3108v2

Mathematics

General Topology

Scientific paper

We give a necessary combinatorial condition on a filter F to admit an
injective F-convergent sequence in $\beta\omega$. We also show that no analytic
filter F admits an injective F-convergent sequence in $\beta\omega$. This
answers a question of T. Banakh, V. Mychaylyuk and L. Zdomskyy.

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