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| Preface Basic notation Introduction 1 Cross sections 1.1 Introduction 1.2 Good's conjecture 1.3 Hensley's conjecture 1.4 Additional remarks 2 Projections 2.1 Introduction 2.2 Lower bounds and upper bounds 2.3 A symmetric formula 2.4 Combinatorial shapes 3 Inscribed simplices 3.1 Introduction 3.2 Binary matrices 3.3 Upper bounds 3.4 Some particular cases 4 Triangulations 4.1 An example 4.2 Some special triangulations 4.3 Smith's lower bound 4.4 Lower-dimensional cases 5 0/1 polytopes 5.1 Introduction 5.2 0/1 polytopes and coding theory 5.3 Classification 5.4 The number of facets 6 Minkowski's conjecture 6.1 Minkowski's conjecture 6.2 An algebraic version 6.3 Haj6s' proof 6.4 Other versions 7 Furtwaingler's conjecture 7.1 Furtwaingler's conjecture 7.2 A theorem of Furtwaingler and Haj6s 7.3 Haj6s' counterexamples 7.4 Robinson's characterization 8 Keller's conjecture 8.1 Keller's conjecture 8.2 A theorem of Keller and Perron 8.3 Corradi and Szab6's criterion 8.4 Lagarias, Mackey, and Shor's counterexamples References Index |
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