Distance functions between sets in \((q_1, q_2)\)-quasimetric spaces

DOI10.1134/S0037446620030040zbMath1447.54021OpenAlexW3035421604MaRDI QIDQ2191373

Aleksandr Valer'evich Greshnov

Publication date: 24 June 2020

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446620030040

zbMATH Keywords

completenessHausdorff distanceclosed setbounded set\((q_1, q_2)\)-quasimetric

Mathematics Subject Classification ID

Complete metric spaces (54E50) Hyperspaces in general topology (54B20) Metric spaces, metrizability (54E35)

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On the Role of Well-Posedness in Homotopy Methods for the Stability Analysis of Nonlinear Feedback Systems

Cites Work

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• Proof of Gromov’s theorem on homogeneous nilpotent approximation for vector fields of class C 1
• On Quasi-Metric Spaces
• $ (q_1,q_2)$-quasimetric spaces. Covering mappings and coincidence points
• (q1, q2)-quasimetrics bi-Lipschitz equivalent to 1-quasimetrics

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