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Real Analysis, Quantitative Topology, and Geometric Complexity

Stephen Semmes
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Abstract

Contents 1 Mappings and distortion 2 The mathematics of good behavior much of the time, and the BMO frame of mind 3 Finite polyhedra and combinatorial parameterization problems 4 Quantitative topology, and calculus on singular spaces 5 Uniform rectifiability Appendices A Fourier transform calculations B Mappings with branching C More on existence and behavior of homeomorphisms D Doing pretty well with spaces which may not have nice coordinates E Some simple facts related to homology

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Stephen Semmes. 2000-10-07. Real Analysis, Quantitative Topology, and Geometric Complexity. https://arxiv.org/abs/math/0010071

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