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Preprint . 2012
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Filter convergence in $\beta\omega$

descriptionPublicationkeyboard_double_arrow_right Preprint 13 Apr 2012
Authors: Verner, Jonathan L.;

arXiv: 1204.3108

Filter convergence in $\beta\omega$

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.

Keywords

54A20 (Primary) 54H05 (Primary), Mathematics - General Topology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average