On the metrization of the infinite partition lattice

DOI10.1016/j.topol.2023.108786OpenAlexW4389365886MaRDI QIDQ6142729

István Mezö

Publication date: 4 January 2024

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

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108786

zbMATH Keywords

completenessseparabilitymetric spacecompactnesstotal boundednesscontinuous functionsmetrizabilityinfinite partition lattice

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Topological lattices, etc. (topological aspects) (54H12) Semimodular lattices, geometric lattices (06C10) Topological lattices (06B30) Ordered topological structures (06F30) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lattice valuations, medians and majorities
• On the use of ordered sets in problems of comparison and consensus of classifications
• Metrics on partially ordered sets - a survey
• The complexity of computing metric distances between partitions
• Partition-distance: A problem and class of perfect graphs arising in clustering
• Comparing clusterings -- an information based distance
• Measurement of the distance between distinct partitions of a finite set of objects
• Height on posets and graphs
• Mathematical classification and clustering
• Consensus theories. An oriented survey
• Clustering
• Lattice Theory: Foundation
• On Application of the Partition Distance Concept to a Comparative Analysis of Psychological or Sociological Tests
• Measure, Integration and a Primer on Probability Theory
• A Sober Look at Clustering Stability
• Encyclopedia of Distances

This page was built for publication: On the metrization of the infinite partition lattice