Representing topologies using partially ordered semigroups

DOI10.1016/j.topol.2018.08.014zbMath1454.06013OpenAlexW2889074705MaRDI QIDQ1800230

Ralph Kopperman, Homeira Pajoohesh

Publication date: 23 October 2018

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

Full work available at URL: https://doi.org/10.1016/j.topol.2018.08.014

zbMATH Keywords

0-dimensionalcompletely regular spacebitopologiespo-semigroupgeneralized metrics

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Ordered semigroups and monoids (06F05)

Related Items (1)

Representations of bornologies

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topologies arising from metrics valued in abelian \(\ell\)-groups
• Intrinsic generalized metrics
• Intrinsic metrics for lattice ordered groups
• Zero-dimensional proximities and zero-dimensional compactifications
• Completions of partial metrics into value lattices
• Quantales and continuity spaces
• Intrinsic metric preserving maps on partially ordered groups
• Continuity spaces: Reconciling domains and metric spaces
• Asymmetry and duality in topology
• \(k\)-metric spaces
• Completion of continuity spaces with uniformly vanishing asymmetry
• The relationship of partial metric varieties and commuting powers varieties. II.
• The relationship of partial metric varieties and commuting powers varieties
• Separation spaces
• Partial Metric Spaces
• Triangle Inequality in l-Groups
• All Topologies Come From Generalized Metrics
• Partial Metric Topology
• Partial metrizability in value quantales
• Continuous Lattices and Domains
• Minimal Non-Metabelian Varieties of ℓ-Groups Which Contain No Nonabeliano-Groups
• Topology Based upon the Concept of a Pseudo-Norm

This page was built for publication: Representing topologies using partially ordered semigroups