L'Enseignement Mathématique

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Volume 41 (1995): L'ENSEIGNEMENT MATHÉMATIQUE
Issue 1-2: L'ENSEIGNEMENT MATHÉMATIQUE
Front matter Download as PDF
Table of Contents 1 Download as PDF
Front matter 2 Download as PDF
Article: HIGHER EULER CHARACTERISTICS (I) 3 Download as PDF
Abstract 3 Download as PDF
Chapter: Introduction 3 Download as PDF
Chapter: 1. Three définitions of the first order Euler characteristic 5 Download as PDF
Chapter: 2. Discussion of Définition $A_1$ 9 Download as PDF
Chapter: 3. SOME CALCULATIONS 15 Download as PDF
Chapter: 4. $S^1$-FIBRATIONS 20 Download as PDF
Chapter: 5. A HIGHER ANALOG OF GOTTLIEB'S THEOREM 25 Download as PDF
Chapter: 6. Mapping Tori 31 Download as PDF
Chapter: 7. More on groups of type F 43 Download as PDF
Chapter: 8. OUTER AUTOMORPHISMS OF GROUPS OF TYPE F 47 Download as PDF
Chapter: 9. Trace formulae for homological intersections 50 Download as PDF
Chapter: 10. Proofs of Theorems 1.1 and 1.5 58 Download as PDF
Bibliography 61 Download as PDF
Article: STRUCTURE CONFORME AU BORD ET FLOT GÉODÉSIQUE D'UN CAT(- 1)-ESPACE 63 Download as PDF
Abstract 63 Download as PDF
Abstract 63 Download as PDF
Abstract: Sommaire 63 Download as PDF
Chapter: Introduction 64 Download as PDF
Chapter: 1. Préliminaires 65 Download as PDF
Chapter: 1.1. GÉNÉRALITÉS SUR LES ESPACES MÉTRIQUES 65 Download as PDF
Chapter: 1.2. Espaces hyperboliques géodésiques 67 Download as PDF
Chapter: 1.3. $CAT(-b^2)$-espaces 68 Download as PDF
Chapter: 1.4. Bord d'un espace hyperbolique 69 Download as PDF
Chapter: 1.5. MÉTRIQUES VISUELLES SUR δX 70 Download as PDF
Chapter: 1.6. Action au bord des quasi-isométries 72 Download as PDF
Chapter: 1.7. Groupes hyperboliques 77 Download as PDF
Chapter: 1.8. Groupes quasi-convexes 78 Download as PDF
Chapter: 2. Structure conforme sur le bord d'un CAT(-1)-espace Ensemble limite et flot géodésique associés à une action quasi-convexe 80 Download as PDF
Chapter: 2.0. Introduction 80 Download as PDF
Chapter: 2.1. Fonctions de Busemann 82 Download as PDF
Chapter: 2.2. Distances horosphériques 82 Download as PDF
Chapter: 2.3. Horosphères 82 Download as PDF
Chapter: 2.4. Produit de Gromov de deux éléments de δX 83 Download as PDF
Chapter: 2.5. Une famille de métriques visuelles sur δX 84 Download as PDF
Chapter: 2.6. Structure conforme sur δX 89 Download as PDF
Chapter: 2.7. Mesures conformes sur l'ensemble limite d'un groupe quasiconvexe 92 Download as PDF
Chapter: 2.8. Flot géodésique associé à une action quasi-convexe 93 Download as PDF
Chapter: 2.9. Le paramétrage de Hopf de $E, \Phi_T$ 95 Download as PDF
Chapter: 2.10. Mesure d'entropie maximale 96 Download as PDF
Chapter: 2.11. Preuve du théorème 2.0.1. 97 Download as PDF
Bibliography 101 Download as PDF
Article: CONCERNING A REAL-VALUED CONTINUOUS FUNCTION ON THE INTERVAL WITH GRAPH OF HAUSDORFF DIMENSION 2 103 Download as PDF
Abstract 103 Download as PDF
Chapter: 0. Introduction 103 Download as PDF
Chapter: 1. A Lemma about mass distribution 105 Download as PDF
Chapter: 2. A Lemma about mass distribution AND SUCCESSIVE TRANSLATIONS 105 Download as PDF
Chapter: 3. Hausdorff measure, net measure and Hausdorff dimension 106 Download as PDF
Chapter: 4. Mass distribution and Hausdorff dimension 106 Download as PDF
Chapter: 5. The main result 107 Download as PDF
Bibliography 109 Download as PDF
Article: FORMES QUADRATIQUES DEVENANT ISOTROPES SUR UNE EXTENSION 111 Download as PDF
Chapter: Introduction 111 Download as PDF
Chapter: 1. Rappels et notations (voir [4] ou [7]) 111 Download as PDF
Chapter: 2. Critères 112 Download as PDF
Chapter: 3. DÉMONSTRATION DU THÉORÈME 1 113 Download as PDF
Chapter: 4. Extensions finies – le théorème de Springer 114 Download as PDF
Chapter: 5. Extensions finies formulations équivalentes des critères du §2 115 Download as PDF
Chapter: 6. Corps de fonctions d'une quadrique 117 Download as PDF
Chapter: 7. Applications 118 Download as PDF
Bibliography 121 Download as PDF
Article: CHAOTIC GROUP ACTIONS 123 Download as PDF
Abstract 123 Download as PDF
Chapter: 1. Introduction 123 Download as PDF
Chapter: 2. Chaos Equals Residual Finiteness 124 Download as PDF
Chapter: 3. Constructions of Chaotic Group Actions 127 Download as PDF
Chapter: 4. Manifolds That Admit Chaotic Group Actions 128 Download as PDF
Chapter: 5. Other Questions 131 Download as PDF
Bibliography 132 Download as PDF
Article: UNE CARACTÉRISATION DU PLAN PROJECTIF COMPLEXE 135 Download as PDF
Chapter: Introduction 135 Download as PDF
Bibliography 139 Download as PDF
Article: JACOBI SUMS AND STICKELBERGER'S CONGRUENCE 141 Download as PDF
Abstract 141 Download as PDF
Chapter: Introduction 141 Download as PDF
Chapter: Proof of Stickelberger's Congruence Via Jacobi Sums 143 Download as PDF
Chapter: Proof of Jacobi Sum Congruence Via Stickelberger 148 Download as PDF
Bibliography 152 Download as PDF
Article: UN THÉORÈME DE RIGIDITÉ POUR LES SURFACES MINIMALES DE $E^3$ 155 Download as PDF
Chapter: 1. Introduction 155 Download as PDF
Chapter: 2. RÉSULTATS 156 Download as PDF
Chapter: 3. DÉMONSTRATIONS 159 Download as PDF
Chapter: 4. Exemples 172 Download as PDF
Appendix: Annexe I 176 Download as PDF
Bibliography 177 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 1 Download as PDF
Back matter Download as PDF
Back matter Download as PDF
Issue 3-4: L'ENSEIGNEMENT MATHÉMATIQUE
Front matter Download as PDF
Table of Contents 179 Download as PDF
Front matter 180 Download as PDF
Article: ON THE COHOMOLOGY OF COMPACT LIE GROUPS 181 Download as PDF
Abstract 181 Download as PDF
Chapter: 1. Introduction 181 Download as PDF
Chapter: 2. Basic material 183 Download as PDF
Chapter: 3. Invariant Theory 184 Download as PDF
Chapter: 4. Invariant Differential Forms 189 Download as PDF
Chapter: 5. The cohomology of flag manifolds 190 Download as PDF
Chapter: 6. The cohomology of a Lie group 194 Download as PDF
Bibliography 199 Download as PDF
Article: SYNTHETIC PROJECTIVE GEOMETRY AND POINCARÉ'S THEOREM ON AUTOMORPHISMS OF THE BALL 201 Download as PDF
Chapter: 1. Introduction 201 Download as PDF
Chapter: 2. The local collineation theorem 203 Download as PDF
Chapter: 3. The Poincaré-Tanaka and Chern-Ji theorems 211 Download as PDF
Bibliography 214 Download as PDF
Article: PLURIDIMENSIONAL ABSOLUTE CONTINUITY FOR DIFFERENTIAL FORMS AND THE STOKES FORMULA 217 Download as PDF
Abstract: Table of Contents 217 Download as PDF
Chapter: Introduction 217 Download as PDF
Chapter: 1. INTEGRAL AND ABSOLUTE CONTINUITY AND THE LOCAL PROBLEM 221 Download as PDF
Chapter: 2. Characterizations of the pluridimensional absolute continuity 226 Download as PDF
Chapter: 3. A MAXIMUM PRINCIPLE 229 Download as PDF
Chapter: 4. The global Stokes formula for simple Lipschitz domains in $R^n$ 233 Download as PDF
Chapter: 5. The global form of the Stokes formula on $C^1$ manifolds 237 Download as PDF
Chapter: 6. Tests for the equalities du =f and $\bar{\delta}u =f$ in the weak sense 240 Download as PDF
Chapter: 7. SOME APPLICATIONS TO HYPERCOMPLEX FUNCTION THEORY 248 Download as PDF
Bibliography 253 Download as PDF
Article: BIRAPPORT ET GROUPOÏDES 257 Download as PDF
Chapter: 1. Groupoïdes et espaces projectifs 257 Download as PDF
Chapter: 1.1 Présentation d'un groupoïde par générateurs et relations 257 Download as PDF
Chapter: 1.2 Le groupoïde des points de $P^n(F)$ 259 Download as PDF
Chapter: 1.3 Preuve du théorème 2 262 Download as PDF
Chapter: 2. Groupoïdes et Grassmanniennes 264 Download as PDF
Chapter: 2.1 Présentation par générateurs et relations 264 Download as PDF
Chapter: 2.2 Invariants projectifs de quadruplets de sous-espaces de dimension l-1 de $P^{2l-1}(F)$ 268 Download as PDF
Chapter: 3. HOMOLOGIE DU GROUPE LINÉAIRE ET GÉOMÉTRIE PROJECTIVE 270 Download as PDF
Chapter: 3.1 HOMOLOGIE DU GROUPE MULTIPLICATIF D'UN CORPS ET ESPACE PROJECTIF INFINI 270 Download as PDF
Chapter: 3.2 Homologie du groupe linéaire et grassmanniennes infinies 274 Download as PDF
Chapter: 4. MULTIRAPPORTS 276 Download as PDF
Chapter: 4.1 GROUPOÏDES ET n-RAPPORTS 276 Download as PDF
Chapter: 4.2 Remarques sur un invariant de Goncharov 277 Download as PDF
Bibliography 280 Download as PDF
Article: RATIONALITY PROBLEMS FOR K-THEORY AND CHERN-SIMONS INVARIANTS OF HYPERBOLIC 3-MANIFOLDS 281 Download as PDF
Chapter: 1. Hyperbolic 3-manifolds and Bloch groups 284 Download as PDF
Chapter: 2. Borel's Theorem 286 Download as PDF
Chapter: 3. Proof and generalization of Theorem B 289 Download as PDF
Chapter: 4. Milnor's and Ramakrishnan's conjectures 291 Download as PDF
Chapter: 5. Chern-Simons invariants and the regulator map 294 Download as PDF
Bibliography 295 Download as PDF
Article: CUBIC FORMS AND COMPLEX 3-FOLDS 297 Download as PDF
Abstract 297 Download as PDF
Chapter: Introduction 297 Download as PDF
Chapter: 1. Topological classification of certain 6-manifolds 299 Download as PDF
Chapter: 1.1 HOMEOMORPHISM TYPES AND $C^\infty$-STRUCTURES 299 Download as PDF
Chapter: 1.2 Homotopy types 301 Download as PDF
Chapter: 2. Realization of cubic forms 303 Download as PDF
Chapter: 2.1 COHOMOLOGY RINGS OF 6-MANIFOLDS 304 Download as PDF
Chapter: 2.2 Homotopy types with a given cohomology ring 306 Download as PDF
Chapter: 3. Algebra and arithmetic of cubic forms 309 Download as PDF
Chapter: 3.1 Algebraic properties of cubic forms 309 Download as PDF
Chapter: 3.2 The GIT quotient $S^3 H_C^v//SL(H_C)$ 311 Download as PDF
Chapter: 3.3 Arithmetical aspects 313 Download as PDF
Chapter: 4. Invariants of complex 3-folds 315 Download as PDF
Chapter: 4.1 Chern numbers of almost complex structures 315 Download as PDF
Chapter: 4.2 Standard constructions 318 Download as PDF
Chapter: 4.3 EX AMPLES OF 1-CONNECTED NON-KÄHLERIAN 3-FOLDS 320 Download as PDF
Chapter: 5. Complex 3-folds with small $b_2$ 324 Download as PDF
Chapter: 5.1 3-folds with $b_2 = 1$ 325 Download as PDF
Chapter: 5.2 3-folds with $b_2 = 2$ 326 Download as PDF
Chapter: 5.3 3-folds with $b_2 \geq 3$ 328 Download as PDF
Bibliography 330 Download as PDF
Article: DENSITÉ DANS DES FAMILLES DE RÉSEAUX. APPLICATION AUX RÉSEAUX ISODUAUX 335 Download as PDF
Abstract 335 Download as PDF
Abstract 335 Download as PDF
Chapter: 1. Introduction 335 Download as PDF
Chapter: 2. Exemples 337 Download as PDF
Chapter: 3. Perfection et eutaxie 340 Download as PDF
Chapter: 4. EXTRÉMALITÉ DANS F 343 Download as PDF
Chapter: 5. RÉSULTATS DE CLASSIFICATION 348 Download as PDF
Chapter: 6. ISODUALITÉ 349 Download as PDF
Chapter: 7. RÉSEAUX ISODUAUX ORTHOGONAUX ET SYMPLECTIQUES 356 Download as PDF
Chapter: 8. Classification des réseaux isoduaux de petite dimension 360 Download as PDF
Bibliography 364 Download as PDF
Rubric: BULLETIN BIBLIOGRAPHIQUE 35 Download as PDF
Back matter Download as PDF
Front matter Download as PDF
Index Download as PDF
Back matter Download as PDF
Back matter Download as PDF
Back matter Download as PDF

INTERNATIONAL REVIEW - Gegründet 1899
Offizielle Zeitschrift der Internationalen Kommission von L'Enseignement Mathématique.

Eine der kennzeichnenden Eigenschaften der Zeitschrift von Anfang an war eine Reihe von Artikeln über den Unterricht der Mathematik in den verschiedenen Ländern. Der Ehrgeiz der Internationalität der Zeitschrift führte soweit, dass sogar Artikeln und Chroniken in Esperanto veröffentlicht wurden. Auch erwähnt werden sollen hier veröffentlichte Texte über die soziale Rolle der Wissenschaft und eine grosse Untersuchung über die Arbeitsmethode der Mathematiker. Im Stil, der dieser Zeit eigen war, erklären die Gründer (in der Adresse an den Leser von 1904), "ein universelles wissenschaftliches Instrument des Fortschritts, der brüderlichen Solidarität" gebaut zu haben und fügen auch ganz bescheiden hinzu:

«Während der fünf Jahre, die seit der Schaffung dieser Zeitschrift vergangen sind, haben wir die Gewissheit erlangt, dass sie nützlich war.»

Eine Präzisierung der Direktoren von 1904:

«Das Wort "Unterricht" hat für uns die breiteste Bedeutung. Gemeint ist sowohl der Unterricht der Schüler als auch der Unterricht der Professoren. Und im Übrigen geht das eine ohne das andere nicht.»

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Editoren: Anton ALEKSEEV, Daniel CORAY, Pierre de la HARPE, Michel KERVAIRE, Nicolas MONOD, Tatiana SMIRNOVA-NAGNIBEDA, John STEINIG, Thierry VUST, Vaughan F. R. JONES

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Title:L'Enseignement Mathématique
Period:1899-ff

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