Filter convergence in $\beta\omega$

Jonathan L. Verner

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arXiv · 1204.3108

Filter convergence in $\beta\omega$

Jonathan L. Verner

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Abstract

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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BibTeX RIS

Jonathan L. Verner. 2012-04-13. Filter convergence in $\beta\omega$. https://arxiv.org/abs/1204.3108

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