Filter convergence in $\beta\omega$
General Topology
2018-01-11 v2
Abstract
We give a necessary combinatorial condition on a filter F to admit an injective F-convergent sequence in . We also show that no analytic filter F admits an injective F-convergent sequence in . This answers a question of T. Banakh, V. Mychaylyuk and L. Zdomskyy.
Cite
@article{arxiv.1204.3108,
title = {Filter convergence in $\beta\omega$},
author = {Jonathan L. Verner},
journal= {arXiv preprint arXiv:1204.3108},
year = {2018}
}