ETH Zurich

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Journal
Band 29 (1983)
Heft 1-2: L'ENSEIGNEMENT MATHÉMATIQUE
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Inhaltsverzeichnis
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Titelseiten
Artikel: SOME PARADOXICAL SETS WITH APPLICATIONS IN THE GEOMETRIC THEORY OF REAL VARIABLE 1
Kapitel: 1. Maneuvering a needle 1
Kapitel: 2. Streets in all directions covering null area 2
Kapitel: 3. A TOURIST COLONY NOT TO BE RECOMMENDED 3
Kapitel: 4. A SMALL TREE WITH MANY FRUITS 3
Kapitel: 5. How the Perron tree sprouts 4
Kapitel: 6. The solution of the needle problem 8
Kapitel: 7. The construction of the Besocovitch set 9
Kapitel: 8. The Nikodym set 11
Kapitel: 9. Mathematical frivolities? From the Perron tree to the measure of the density 12
Kapitel: 10. Another fruit of the Perron tree. A PROBLEM ON DOUBLE FOURIER SERIES 13
Bibliographie 14
Artikel: MANIFOLDS WITH CANONICAL COORDINATE CHARTS : SOME EXAMPLES 15
Kapitel: Inversive 2-manifolds 18
Kapitel: Affine structures in 2, 3, and 4 dimensions 22
Bibliographie 25
Artikel: GROUPE DE WITT D'UNE ALGÈBRE AVEC INVOLUTION 27
Kapitel: §1. RÉDUCTION AU CAS SEMISIMPLE 28
Kapitel: §2 Réduction au groupe de Witt hermitien d'un corps gauche 31
Kapitel: §3. Présentation du groupe de Witt hermitien d'un corps gauche 37
Artikel: EXACT SEQUENCES OF WITT GROUPS OF EQUIVARIANT FORMS 45
Bibliographie 51
Artikel: REPRESENTATIONS OF THE SYMMETRIC GROUP, THE SPECIALIZATION ORDER, SYSTEMS AND GRASSMANN MANIFOLDS 53
Kurzfassung: Abstract 53
Kurzfassung: Contents 53
Kapitel: 1. Introduction 54
Kapitel: 2. SEVERAL MANIFESTATIONS OF THE SPECIALIZATION ORDER 56
Kapitel: 3. Grassmann manifolds and classifying vectorbundles 59
Kapitel: 4. Schubert Cells 60
Kapitel: 5. Interrelations 62
Kapitel: 6. Young's rule, the specialization order and nilpotent matrices 65
Kapitel: 7. Nilpotent matrices and systems 67
Kapitel: 8. VECTORBUNDLES AND SYSTEMS 73
Kapitel: 9. Vectorbundles, systems and Schubert cells 76
Kapitel: 10. Deformations of representation homomorphisms and subrepresentations 81
Kapitel: 11. A FAMILY OF REPRESENTATIONS OF $S_{n+m}$ PARAMETRIZED BY $G_n(C^{n+m})$ 82
Bibliographie 85
Artikel: THE METHOD OF HADAMARD AND DE LA VALLÉE-POUSSIN (ACCORDING TO PIERRE DELIGNE) 89
Kurzfassung: Contents 89
Kapitel: Introduction 90
Kapitel: Part I: Examples 91
Kapitel: Part II: Statement of the theorem 100
Kapitel: Part III: Proof of the Main Lemma 114
Bibliographie 128
Artikel: FREE GROUPS IN LINEAR GROUPS 129
Kapitel: 1. Early examples 129
Kapitel: 2. Statement of Tits' theorem 132
Kapitel: 3. Digression on hyperbolic geometry 134
Kapitel: 4. Free subgroups of GL(2, R) and of GL(2, C) 135
Kapitel: 5. SOME OTHER CASES OF TITS' THEOREM 139
Bibliographie 142
Artikel: DIVISION ALGEBRAS AND THE HAUSDORFF-BANACH-TARSKI PARADOX 145
Anhang: Appendix A 147
Anhang: Appendix B 148
Anhang: Appendix C 149
Bibliographie 150
Artikel: ON FREE SUBGROUPS OF SEMI-SIMPLE GROUPS 151
Kapitel: §1. Proof of Theorem B 153
Kapitel: §2. Free subgroups with strongly regular elements 157
Kapitel: §3. Compact groups. Proof of Theorem A. 161
Kapitel: §4. Free group actions with commutative isotropy groups 161
Bibliographie 164
Artikel: KUMMER'S IDEAS ON FERMAT'S LAST THEOREM 165
Bibliographie 176
Rubrik: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION) 179
Artikel: SOME KNOT THEORY OF COMPLEX PLANE CURVES 185
Kapitel: §1. Aspects of the "placement problem" for complex plane curves 185
Kapitel: §2. A TRIPTYCH 185
Kapitel: §3. RÉSUMÉ OF BASIC DEFINITIONS 186
Kapitel: §4. Local knot theory in brief 186
Kapitel: §5. Global knot theory in brief—the projective case 190
Kapitel: §6. Global knot theory in brief—the affine case 193
Kapitel: §7. The middle range 195
Bibliographie 207
Artikel: SUR LES SOMMES DE QUATRE CUBES 209
Bibliographie 220
Artikel: THE TOPOLOGY OF REAL ALGEBRAIC SETS 221
Kapitel: §0. Introduction 222
Kapitel: §1. Resolution of Algebraic Sets 225
Kapitel: §2. Nonsingular Algebraic Sets 229
Kapitel: §3. Blowing Down 237
Kapitel: §4. Isolated Singularities 240
Kapitel: §5. Algebraic Structures on P.L. Manifolds 246
Kapitel: §6. On classification of Real Algebraic Sets 250
Bibliographie 260
Artikel: MILNOR LATTICES AND GEOMETRIC BASES OF SOME SPECIAL SINGULARITIES 263
Kapitel: Introduction 263
Kapitel: 1. The Milnor Lattice of a Singularity 264
Kapitel: 2. Geometric Bases of the Milnor Lattice 266
Kapitel: 3. Milnor Lattices and Weakly Distinguished Bases of Some Special Singularities 269
Kapitel: 4. Distinguished Bases for the Bimodular Singularities 273
Bibliographie 280
Artikel: ON POLYLOGARITHMS, HURWITZ ZETA FUNCTIONS, AND THE KUBERT IDENTITIES 281
Kapitel: §1. Introduction 281
Kapitel: §2. Classical examples 282
Kapitel: §3. Continuous Kubert functions 287
Kapitel: §4. EXTENDING FROM (0, 1) TO R/Z 292
Kapitel: §5. Universal Kubert functions 294
Kapitel: §6. On Q-linear relations 300
Anhang: Appendix 1 Relations between polylogarithm and Hurwitz function 306
Anhang: Appendix 2 SOME RELATIVES OF THE GAMMA FUNCTION 309
Anhang: Appendix 3 Volume and the Dehn invariant in hyperbolic 3-space 315
Bibliographie 321
Artikel: PROPOS DES ÉQUATIONS ANTIPELLIENNES 323
Bibliographie 327
Artikel: VANISHING OF COHOMOLOGY WITH COEFFICIENTS IN A LOCALLY FREE SHEAF AND PSEUDOCONVEXITY 329
Kapitel: Introduction 329
Bibliographie 338
Artikel: THE CLEBSCH-GORDAN FORMULAS 339
Kapitel: 0. Introduction 339
Kapitel: 1. SOME REPRESENTATIONS OF $sI_2$ 339
Kapitel: 2. The Weyl algebra A 340
Kapitel: 3. The theory of the highest weight 342
Kapitel: 4. The decomposition of A 342
Kapitel: 5. Decomposition of $Hom(V_m, V_{m+n})$ 344
Bibliographie 346
Rubrik: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION) 347
Kapitel: ICMI NOTES 347
Artikel: THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION PAST, PRESENT AND FUTURE 348
Rubrik
Rubrik: BULLETIN BIBLIOGRAPHIQUE 1
Rubric: BULLETIN BIBLIOGRAPHIQUE 45
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