|
Issue 1-2: L'ENSEIGNEMENT MATHÉMATIQUE
|
|
|
Front matter
|
|
|
Table of Contents
|
|
|
Front matter
|
|
|
Index
|
|
|
Front matter
|
|
|
Article: ORIGINS OF THE COHOMOLOGY OF GROUPS
|
1
|
|
Chapter: 1. The Historical Questions
|
1
|
|
Chapter: 2. Fundamental Group and 2nd Betti Group
|
1
|
|
Chapter: 3. Homology and Cohomology of Groups
|
4
|
|
Chapter: 4. The Background in Abstract Algebra
|
8
|
|
Chapter: 5. The Background in Class Field Theory
|
9
|
|
Chapter: 6. Betti Numbers or Homology Groups
|
11
|
|
Chapter: 7. The Background in Homotopy
|
13
|
|
Chapter: 8. The Cohomology of Groups
|
13
|
|
Chapter: 9. Spectral Sequences
|
14
|
|
Chapter: 10. Transfer
|
15
|
|
Chapter: 11. Class Field Theory
|
17
|
|
Chapter: 12. Homological Algebra
|
17
|
|
Chapter: 13. Functors and Categories
|
20
|
|
Chapter: 14. Duality
|
21
|
|
Chapter: 15. Cohomology of Algebraic Systems
|
24
|
|
Chapter: 16. Some Historical Questions.
|
25
|
|
Bibliography
|
26
|
|
Article: ON CAYLEY'S EXPLICIT SOLUTION TO PONCELET'S PORISM
|
31
|
|
Chapter: 1. Points of finite order on elliptic curves
|
33
|
|
Chapter: 2. Application to the Poncelet problem
|
38
|
|
Article: COINCIDENCE-FIXED-POINT INDEX
|
41
|
|
Chapter: Introduction
|
41
|
|
Chapter: § 1. The coincidence-fixed-point (c.f.p.) index
|
42
|
|
Chapter: § 2. The Lefschetz trace formula for the c.f.p. index
|
45
|
|
Chapter: § 3. Applications, Problems.
|
49
|
|
Bibliography
|
53
|
|
Article: ON A FUNCTIONAL EQUATION RELATING TO THE BRAUER-RADEMACHER IDENTITY
|
55
|
|
Bibliography
|
61
|
|
Article: ÜBERLAGERUNGEN DER PROJEKTIVEN EBENE UND HILBERTSCHE MODULFLÄCHEN
|
63
|
|
Bibliographie
|
78
|
|
Article: MAPS BETWEEN CLASSIFYING SPACES
|
79
|
|
Bibliographie
|
85
|
|
Article: SOLUTIONS PRESQUE-PÉRIODIQUES DES ÉQUATIONS DIFFÉRENTIELLES ABSTRAITES
|
87
|
|
Chapitre: Introduction
|
87
|
|
Chapitre: §1. Solution presque-périodiques de l'équation $\left( \frac{d}{dt}-A \right)u = 0$
|
88
|
|
Chapitre: §2. Presque-périodicité des solutions bornées
|
89
|
|
Chapitre: §3. Presque-périodicité des solutions a trajectoire relativement compacte
|
93
|
|
Chapitre: §4. Presque-périodicité des solutions faibles minimales
|
99
|
|
Bibliographie
|
110
|
|
Article: SOUS-GROUPES DÉRIVÉS DES GROUPES DE NŒUDS
|
111
|
|
Chapitre: §1. Présentations dynamiques
|
111
|
|
Chapitre: §2. Groupes de nœuds
|
114
|
|
Chapitre: §3. Exemples
|
116
|
|
Bibliographie
|
123
|
|
Article: DILATATIONEN VON ABELSCHEN GRUPPEN
|
125
|
|
Chapitre: I. KONGRUENZKLASSENGEOMETRIEN UND GRUPPENGEOMETRIEN
|
127
|
|
Chapitre: II. Dilatationen von Gruppen
|
130
|
|
Chapitre: III. DILATATIONSGRUPPEN VON ENDLSICHEN ABELSCHEN p-GRUPPEN
|
137
|
|
Article: ON THE GELFAND-FUKS COHOMOLOGY
|
143
|
|
Chapitre: 1. Definitions
|
143
|
|
Chapitre: 2. Connection with foliations
|
145
|
|
Chapitre: 3. The formal vector fields and the diagonal complex
|
146
|
|
Chapitre: 4. Main theorem
|
148
|
|
Chapitre: 5. Construction of an algebraic model for the space OF SECTIONS OF A FIBER BUNDLE ([20], [18], [13]).
|
149
|
|
Chapitre: 6. Sketch of the proof of the main theorem and applications
|
152
|
|
Chapitre: 7. Example of a computation
|
153
|
|
Chapitre: 8. Case of a manifold with boundary
|
155
|
|
Chapitre: 9. Construction of a model for $C^\star (L_{M,N})$
|
156
|
|
Chapitre: 10. SOME OTHER PROBLEMS
|
158
|
|
Bibliographie
|
159
|
|
Article: THE LEVI PROBLEM AND PSEUDO-CONVEX DOMAINS: A SURVEY
|
161
|
|
Chapitre: §1. The Levi Problem
|
161
|
|
Chapitre: §2. Pseudo-convex Domains
|
167
|
|
Bibliographie
|
171
|
|
Article: REMARKS ON THE UNIVERS AL TEICHMÜLLER SPACE
|
173
|
|
Chapitre: 1. Introduction
|
173
|
|
Chapitre: 2. Reformulations in the plane
|
174
|
|
Chapitre: 3. Spirals
|
175
|
|
Chapitre: 4. OUTLINE OF THE PROOF OF THEOREM 5
|
177
|
|
Chapitre: 5. CONCLUDING REMARKS
|
177
|
|
Bibliographie
|
178
|
|
Article: ALGEBRAIC ASPECTS OF THE THEORY OF PARTIAL DIFFERENTIAL EQUATIONS
|
179
|
|
Chapitre: 1. Dimension of D-Modules
|
179
|
|
Chapitre: 2. General constructions on D and E-Modules
|
182
|
|
Chapitre: 3. FURTHER RESULTS ON HOLONOMIC SYSTEMS
|
186
|
|
Bibliographie
|
187
|
|
Article: EINIGE VERZERRUNGSAUSSAGEN BEI QUASIKONFORMEN ABBILDUNGEN ENDLICH VIELFACH ZUSAMMENHÄNGENDER GEBIETE
|
189
|
|
Bibliographie
|
201
|
|
Article: UNIVALENT FUNCTIONS, SCHWARZIAN DERIVATIVES AND QUASICONFORMAL MAPPINGS
|
203
|
|
Chapitre: 1. Introduction
|
203
|
|
Chapitre: 2. Quasiconformal mappings
|
203
|
|
Chapitre: 3. Quasicircles
|
205
|
|
Chapitre: 4. Deviation of a domain from a disc
|
206
|
|
Chapitre: 5. SCHWARZIAN DERIVATIVE AND UNIVALENCE
|
210
|
|
Bibliographie
|
213
|
|
Article: HOW QUICKLY CAN AN ENTIRE FUNCTION TEND TO ZERO ALONG A CURVE ?
|
215
|
|
Chapitre: 1. Introduction
|
215
|
|
Chapitre: 2. The case when E is a curve
|
217
|
|
Chapitre: 3. An extended reflexion principle
|
218
|
|
Chapitre: 4. Conclusions
|
221
|
|
Bibliographie
|
223
|
|
Article: SINGULAR INTEGRAL EQUATION CONNECTED WITH QUASICONFORMAL MAPPINGS IN SPACE
|
225
|
|
Chapitre: 1. Introduction
|
225
|
|
Chapitre: 2. Definitions and notations
|
225
|
|
Chapitre: 3. Invariance properties
|
226
|
|
Chapitre: 4. NON-EUCLIDEAN MOTIONS
|
228
|
|
Chapitre: 5. FUNDAMENTAL SOLUTIONS
|
229
|
|
Chapitre: 6. POTENTIALS
|
231
|
|
Chapitre: 7. Computation of SIv
|
233
|
|
Chapitre: 8. Automorphic functions and beltrami differentials
|
235
|
|
Bibliographie
|
235
|
|
Article: INVARIANTS OF FINITE REFLECTION GROUPS
|
237
|
|
Chapitre: Introduction
|
237
|
|
Chapitre: CHAPTER I GENERAL THEORY
|
239
|
|
Chapitre: 1. The Main Theorem of Invariant Theory
|
239
|
|
Chapitre: 2. Molien's Formula
|
243
|
|
Chapitre: CHAPTER II INVARIANT THEORETIC CHARACTERIZATION OF FINITE REFLECTION GROUPS
|
245
|
|
Chapitre: 1. Chevalley's Theorem
|
245
|
|
Chapitre: 2. The Theorem of Shephard and Todd
|
248
|
|
Chapitre: 3. A Formula for $\frac{\delta \left(I_1,\ldots,I_n \right)}{\delta \left(x_1,\ldots,x_n\right)}$
|
253
|
|
Chapitre: 4. Decomposition of Finite Reflection Groups
|
254
|
|
Chapitre: CHAPTER III THE DEGREES OF THE BASIC INVARIANTS
|
256
|
|
Chapitre: 1. The Classification of the Finite Real Reflection Groups
|
257
|
|
Chapitre: 2. The Computation of the Degrees for Real Finite Reflection Groups
|
262
|
|
Chapitre: 3. Tabulation of the Degrees
|
271
|
|
Chapitre: 4. Solomon's Theorem
|
274
|
|
Chapitre: CHAPTER IV PARTIAL DIFFERENTIAL EQUATIONS AND MEAN VALUE PROPERTIES
|
280
|
|
Chapitre: 1. Invariant partial differential equations
|
280
|
|
Chapitre: 2. Mean Value Properties
|
283
|
|
Bibliographie
|
292
|
|
Article: CARTIER DUALITY AND FORMAL GROUPS OVER Z
|
293
|
|
Chapitre: §1. Introduction
|
293
|
|
Chapitre: §2. Groups
|
296
|
|
Chapitre: §3. Formal Groups
|
300
|
|
Bibliographie
|
303
|
|
Article: MÉTRIQUES KÄHLÉRIENNES ET SURFACES MINIMALES
|
305
|
|
Chapitre: §0. Introduction
|
305
|
|
Chapitre: §1. Rappels et notation.
|
305
|
|
Chapitre: §2. MÉTRIQUE HERMITIENNE ET SOUS-VARIÉTÉS MINIMALES.
|
307
|
|
Bibliographie
|
310
|
|
Article: SIMPLE PROOF OF THE MAIN THEOREM OF ELIMINATION THEORY IN ALGEBRAIC GEOMETRY
|
311
|
|
Résumé: SUMMARY
|
311
|
|
Chapitre: 1. Hilbert's zero theorem: a particular case
|
311
|
|
Chapitre: 2. Proof of Hilbert's zero theorem
|
312
|
|
Chapitre: 3. Elimination theory
|
314
|
|
Chapitre: 4. Proof of theorem D
|
315
|
|
Chapitre: 5. Application to schemes
|
316
|
|
Rubrique: BULLETIN BIBLIOGRAPHIQUE
|
|
|
Rubric: BULLETIN BIBLIOGRAPHIQUE
|
41
|
|
Back matter
|
|
|
Back matter
|
|