A factorization of metric spaces

DOI10.4064/cm9066-6-2023arXiv2212.13409OpenAlexW4387467197MaRDI QIDQ6146781

Yoshito Ishiki

Publication date: 31 January 2024

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

Full work available at URL: https://arxiv.org/abs/2212.13409

zbMATH Keywords

embeddingretractionzero-dimensional spaces

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Metric geometry (51F99)

Cites Work

• Metrization of weighted graphs
• An embedding, an extension, and an interpolation of ultrametrics
• Closed retracts and perfect retracts
• Quasi-symmetric invariant properties of Cantor metric spaces
• Extending continuous functions on zero-dimensional spaces
• Dimension zero at all scales
• Extending proper metrics
• Subdominant pseudoultrametric on graphs
• Non-Archimedean Metrics in Topology
• Dimension Theory
• Products of Lipschitz-free spaces and applications
• On Closed Images of the Space of Irrationals
• Simultaneous extensions of metrics and ultrametrics of high power
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