Filter Convergence in βω
Filter Convergence in βω
Author(s): Jonathan VernerSubject(s): Philosophy
Published by: Univerzita Karlova v Praze, Nakladatelství Karolinum
Keywords: analytic filter; meager filter; filter convergence; Rudin-Keisler ordering
Summary/Abstract: We give a combinatorial condition which is necessary for a filter Ϝ to admit injective Ϝ-convergent sequences in βω. We also show that no analytic filter Ϝ admits an injective Ϝ-convergent sequence in βω. This answers a question of T. Banakh, V. Mychaylyuk and L. Zdomskyy.
Journal: Acta Universitatis Carolinae Philosophica et Historica
- Issue Year: IX/2010
- Issue No: 2
- Page Range: 87-90
- Page Count: 4
- Language: English
