On comeager sets of metrics whose ranges are disconnected

DOI10.1016/j.topol.2023.108442OpenAlexW4318305351MaRDI QIDQ2687327

Yoshito Ishiki

Publication date: 2 March 2023

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

Full work available at URL: https://arxiv.org/abs/2207.12765

zbMATH Keywords

Baire categoryspace of metricsrange of metricsuniversal metrics

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Baire category, Baire spaces (54E52)

Related Items (1)

Constructions of Urysohn universal ultrametric spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Polish ultrametric Urysohn spaces and their isometry groups
• An embedding, an extension, and an interpolation of ultrametrics
• On the geometry of Urysohn's universal metric space
• Topological groups and related structures
• Urysohn universal space, its development and Hausdorff's approach
• Functions transferring metrics to metrics
• A novel construction of Urysohn universal ultrametric space via the Gromov-Hausdorff ultrametric
• The range of ultrametrics, compactness, and separability
• Extending continuous functions on zero-dimensional spaces
• Non-Archimedean Metrics in Topology
• Topologies induced by metrics with disconnected range
• Countable Metric Spaces Without Isolated Points
• Minimal universal metric spaces
• A simple proof of Hausdorff's theorem on extending metrics
• A Metric Characterizing Cech Dimension Zero
• On dense subsets in spaces of metrics

This page was built for publication: On comeager sets of metrics whose ranges are disconnected