Weak regularity and consecutive topologizations and regularizations of pretopologies

DOI10.1016/J.TOPOL.2008.12.004zbMath1167.54001OpenAlexW1980884634MaRDI QIDQ1013819

Tsugunori Nogura, Szymon Dolecki, Hans-Peter A. Künzi

Publication date: 23 April 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2008.12.004

zbMATH Keywords

regularizationpretopologyweak basetopologizationMAD family\(F\)-order

Mathematics Subject Classification ID

Compactness (54D30) Topological spaces and generalizations (closure spaces, etc.) (54A05) Categorical methods in general topology (54B30) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Peculiar topological spaces (54G99)

Related Items (3)

Irregularity ⋮ Erratum to ``Irregularity [Topology Appl. 154 (8) (2007) 1565-1580] ⋮ Weak regularity and consecutive topologizations and regularizations of pretopologies

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Limesräume
• Gefilterte Summation von Filtern und iterierte Grenzprozesse. I
• Irregularity
• Weak regularity and consecutive topologizations and regularizations of pretopologies
• The Scarborough-Stone problem for Hausdorff spaces
• Convergence-theoretic characterizations of compactness
• Topologically maximal pretopologies
• The regularity series of a convergence space
• The regularity series of a convergence space II
• Cyrtologies of Convergences, II: Sequential Convergences
• MAPPINGS AND SPACES
• Limesräume und Komplettierung

This page was built for publication: Weak regularity and consecutive topologizations and regularizations of pretopologies