Filter convergence in βω
classification
🧮 math.GN
keywords
betafilteromegaf-convergentinjectivesequenceadmitadmits
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.