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This subtopic studies analysis on metric spaces, including Lipschitz and metric-geometry methods for extending ideas from classical analysis.
30L05 studies geometric embeddings of metric spaces in analysis on metric spaces. It studies analytic methods in metric spaces, including Lipschitz, Sobolev, and geometric measure-theoretic ideas.
Analysis On Metric Spaces (Wikipedia)
Used to extend calculus and geometry beyond smooth manifolds.
30L10 studies quasiconformal mappings in metric spaces in analysis on metric spaces. It studies analytic methods in metric spaces, including Lipschitz, Sobolev, and geometric measure-theoretic ideas.
Analysis On Metric Spaces (Wikipedia)
Used to extend calculus and geometry beyond smooth manifolds.
30L99 studies none of the above in analysis on metric spaces. It studies analytic methods in metric spaces, including Lipschitz, Sobolev, and geometric measure-theoretic ideas.
Analysis On Metric Spaces (Wikipedia)
Used to extend calculus and geometry beyond smooth manifolds.