ETH Zurich
E-Periodica
Tous les volumes

L'Enseignement Mathématique

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