A filter on a collection of finite sets and Eberlein compacta

2017/07/25 by Tomasz Cieśla · 3 citations
Mathematics · #Advanced Banach Space Theory #Advanced Topology and Set Theory #Combinatorics #Computer science #Computer vision #Filter (signal processing) #Ideal (ethics) #Mathematical analysis #Mathematics #Omega #Physics #Pure mathematics #Rings, Modules, and Algebras #Sigma #Space (punctuation) #math.GN

paper · pdf · doi:10.1016/j.topol.2017.07.011

published in Topology and its Applications 229, 106-111 (Elsevier BV)

openalex publication_date 2017/07/25 · arxiv created 2017/12/07 · arxiv updated 2017/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We introduce a σ-ideal on ω₁ × ω₁ and a filter on the collection of graphs of strictly decreasing partial functions on ω₁ taking values in ω₁. We use them to prove that a certain space is a non-bisequential Eberlein compactum.

Citations

• A quintuple quotient quest