Products of topological spaces and families of filters

DOI10.14712/1213-7243.2024.005OpenAlexW4392957740MaRDI QIDQ6204987

Paolo Lipparini

Publication date: 11 April 2024

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14712/1213-7243.2024.005

zbMATH Keywords

productultrafilterfilter convergenceMenger propertyRothberger propertysequential compactnessLindelöf propertysubproduct\([\mu,\lambda\)-compactness]final \(\lambda\)-compactnesssequencewise \(\mathcal{P}\)-compactness

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Product spaces in general topology (54B10) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Cites Work

• A characterization of the Menger property by means of ultrafilter convergence
• Compact factors in finally compact products of topological spaces
• Compactness and sequentiality with respect to a set of ultrafilters
• Some applications of ultrafilters in topology
• Topological spaces compact with respect to a set of filters
• Combinatorial Cardinal Characteristics of the Continuum
• Products of Initially m-Compact Spaces
• A Boolean view of sequential compactness
• Ultrafilter Invariants in Topological Spaces
• A very general covering property
• Continuous Lattices and Domains
• Non-Hausdorff Topology and Domain Theory
• Tychonoff-like Product Theorems for Local Topological Properties
• $G_\delta $-topology and compact cardinals
• Products of Nearly Compact Spaces
• [https://portal.mardi4nfdi.de/wiki/Publication:6045389 Products of sequentially compact spaces and compactness with respect to a set of filters]
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Products of topological spaces and families of filters