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Lectures on Discrete Geometry [2002]
- 1
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Convexity
- 17
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Lattices and Minkowski’s Theorem
- 29
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Convex Independent Subsets
- 41
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Incidence Problems
- 77
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Convex Polytopes
- 125
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Number of Faces in Arrangements
- 165
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Lower Envelopes
- 195
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Intersection Patterns of Convex Sets
- 207
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Geometric Selection Theorems
- 231
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Transversals and Epsilon Nets
- 265
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Attempts to Count <Emphasis Type="Italic">k</Emphasis>-Sets
- 289
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Two Applications of High-Dimensional Polytopes
- 311
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Volumes in High Dimension
- 329
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Measure Concentration and Almost Spherical Sections
- 355
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Embedding Finite Metric Spaces into Normed Spaces
- 401
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What Was It About? An Informal Summary