AUC PHILOSOPHICA ET HISTORICA
AUC Philosophica et Historica (Acta Universitatis Carolinae Philosophica et Historica) is a multidisciplinary academic journal focused on the humanities with more than 50 years of tradition.
The journal is indexed in CEEOL, DOAJ, and EBSCO.
AUC PHILOSOPHICA ET HISTORICA, Vol 2010 No 2 (2010), 87–90
Filter Convergence in βω
Jonathan Verner
published online: 18. 05. 2015
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.
keywords: analytic filter; meager filter; filter convergence; Rudin-Keisler ordering
periodicity: 2 x per year
ISSN: 0567-8293
E-ISSN: 2464-7055
