Lipschitz groups and Lipschitz maps

DOI10.22108/ijgt.2017.10506zbMath1473.22002OpenAlexW1845330397MaRDI QIDQ5124009

Laurent Poinsot

Publication date: 17 September 2020

Full work available at URL: https://doaj.org/article/223ff1cd870e4cd4a6f6b32b277732c6

zbMATH Keywords

Lipschitz mapstranslation-invariant metricgroup object in a category

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Metric spaces, metrizability (54E35) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Lipschitz (Hölder) classes (26A16) Categorical methods in general topology (54B30) Structured objects in a category (group objects, etc.) (18C40)

Cites Work

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• Group-like structures in general categories. I. Multiplications and comultiplications
• Topological groups and related structures
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• Banach algebras of Lipschitz functions
• Extension and reconstruction theorems for the Urysohn universal metric space
• Plongements lipschitziens dans ${\bbfR}\sp n$
• The category of compact metric spaces and its functional analytic duals
• Invariant Metrics in Groups (Solution of a Problem of Banach)
• Metric spaces, convexity and nonpositive curvature

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