On dense subsets in spaces of metrics

DOI10.4064/cm8580-9-2021zbMath1506.54009arXiv2104.12450OpenAlexW3157410154MaRDI QIDQ5867728

Yoshito Ishiki

Publication date: 14 September 2022

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.12450

zbMATH Keywords

ultrametricspace of metricstopological distribution

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Compact (locally compact) metric spaces (54E45) Dimension theory in general topology (54F45) Geometric embeddings of metric spaces (30L05)

Related Items (3)

Constructions of Urysohn universal ultrametric spaces ⋮ On comeager sets of metrics whose ranges are disconnected ⋮ Simultaneous extensions of metrics and ultrametrics of high power

Cites Work

• Metrization of weighted graphs
• An embedding, an extension, and an interpolation of ultrametrics
• Lectures on analysis on metric spaces
• Quasi-symmetric invariant properties of Cantor metric spaces
• Subdominant pseudoultrametric on graphs
• The Existence of Complete Riemannian Metrics
• Dimension Theory
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