Real Analysis, Quantitative Topology, and Geometric Complexity

Details Real Analysis, Quantitative Topology, and Geometric Complexity Real Analysis, Quantitative Topology, and Geometric Complexity

2000-10-07

arxiv.org/abs/math/0010071v1

Publicacions Matematiques (Barcelona) 45 (2001), 3--67, 265--333

Mathematics

Metric Geometry

161 pages, Latex2e

Scientific paper

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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