On the existence of bi-Lipschitz equivalent metrics in semimetric spaces

DOI10.1515/ms-2023-0093OpenAlexW4387461776MaRDI QIDQ6088280

Vincenzo Palmisano, Andrea O. Caruso

Publication date: 16 November 2023

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2023-0093

zbMATH Keywords

metric spacesdistancequasi-metric spacessemimetricquasi-ultrametric spaces

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Semimetric spaces (54E25)

Cites Work

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• Lipschitz functions on spaces of homogeneous type
• Lectures on analysis on metric spaces
• Two refinements of Frink's metrization theorem and fixed point results for Lipschitzian mappings on quasimetric spaces
• Assouad's theorem with dimension independent of the snowflaking
• Bilipschitz embeddings of metric spaces into Euclidean spaces
• Basic inequality on a \(b\)-metric space and its applications
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Fixed Point Theory in Distance Spaces
• Quasi-metric and metric spaces
• On quasi-metric and metric spaces
• Plongements lipschitziens dans ${\bbfR}\sp n$
• Comparing Top k Lists
• On characterizations and topology of regular semimetric spaces
• Bilipschitz embeddings of metric spaces into space forms