Subsequential filters
type: Item
instance of: scholarly article
title: Subsequential filters
zbMATH Open document ID: 1180.54006
published in: Topology and its Applications
publication date: 2009-11-05T00:00:00Z
review text: A free filter \({\mathcal F}\) on \(\omega\) is called (sub)sequential if the space \(\omega\cup\{{\mathcal F}\}\) is (sub)sequential. The authors give several characterizations, properties and examples of these filters.
reviewed by: Bernhard Behrens
Mathematics Subject Classification ID: 54A20
Mathematics Subject Classification ID: 54B05
Mathematics Subject Classification ID: 54D55
Mathematics Subject Classification ID: 54D80
zbMATH DE Number: 5625491
zbMATH Keywords: (sub)sequential space
zbMATH Keywords: Fréchet-Urysohn space
zbMATH Keywords: (sub)sequential filter
zbMATH Keywords: (maximal) almost disjoint family
zbMATH Keywords: (sub)sequential order
zbMATH Keywords: sums and products of (sub)sequential filters
zbMATH Keywords: \(\pi\)-network
zbMATH Keywords: Seq-space
author: Salvador Garcia-Ferreira
author: Carlos Uzcátegui
MaRDI profile type: Publication
full work available at URL: j.topol.2009.02.007
OpenAlex ID: W4213188127
cites work: Q4741381
cites work: Ordinal invariants for topological spaces
cites work: Ultrafilters on a countable set
cites work: Spaces in which sequences suffice
cites work: Stone-Čech compactification of a product
cites work: Subspaces of sequential spaces
cites work: Products with Closed Projections. II
cites work: Q4788495
cites work: Analytic \(k\)-spaces
cites work: Q4828844
DOI: 10.1016/J.TOPOL.2009.02.007
description: scientific article; zbMATH DE number 5625491