ETH Zurich

E-Periodica Schweizer Zeitschriften online. Revues suisses en ligne. Swiss journals online.

Journal
Volume 23 (1977)
Cahier 1-2: L'ENSEIGNEMENT MATHÉMATIQUE
Pages liminaires
Table des matières
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Index
Pages liminaires
Article: KRITISCHE PUNKTE UND KRÜMMUNG FÜR DIE MENGEN DES KONVEXRINGES 1
Bibliographie 6
Article: QUADRATIC FORMS IN AN ADELIC SETTING 7
Chapitre: 1. Introduction 7
Chapitre: 2. The Mean Value Formula 7
Chapitre: 3. Formulation of Siegel's Theorem 8
Chapitre: 4. Derivation of Siegel's Theorem 9
Bibliographie 12
Article: ON THE EVALUATION OF GAUSSIAN SUMS FOR NON-PRIMITIVE DIRICHLET CHARACTERS 13
Chapitre: 1. Introduction 13
Chapitre: 2. Proof of theorem B 14
Chapitre: 4. Special cases 17
Bibliographie 18
Article: ON THE NUMBER OF ZEROS OF FUNCTIONS 19
Chapitre: 0. Introduction 19
Chapitre: 1. A BASIC LEMMA 20
Chapitre: 2. A USEFUL IDENTITY 21
Chapitre: 3. An estimation by interpolation 23
Chapitre: 4. EXPONENTIAL POLYNOMIALS 26
Chapitre: 5. Further results 35
Bibliographie 37
Article: STABILITY OF PROJECTIVE VARIETIES 39
Résumé: Contents 39
Chapitre: Introduction 39
Chapitre: §1. Stable points of représentation, examples and Chow forms 41
Chapitre: §2. A CRITERION FOR $X^r \subset P^n$ TO BE STABLE 54
Chapitre: §3. Effect of Singular Points on Stability 68
Chapitre: §4. Asymptotic Stability of Canonically Polarized Curves 82
Chapitre: §5. The Moduli Space of Stable Curves 92
Chapitre: LINE BUNDLES ON THE MODULI SPACE 99
Appendice: APPENDIX 108
Bibliographie 110
Article: GÉNÉRALISATION DES SUITES SPECTRALES 111
Bibliographie 116
Article: PROFILS ET RÉDUITE TRANSJORDANIENNE D'UNE MATRICE CARRÉE 117
Chapitre: I. Itération d'un endomorphisme (singulier) 117
Chapitre: II. Analyse d'un endomorphisme f. Théorèmes préliminaires 119
Chapitre: III. RÉDUITE TRANSJORDANIENNE DE f 121
Chapitre: IV. Condition nécessaire et suffisante de similitude DE DEUX MATRICES 124
Chapitre: V. Applications 125
Article: EXTENSION AND LIFTING OF $C^\infty$ WHITNEY FIELDS 129
Bibliographie 137
Article: SISTEMI NORMALI DI GENERATORI PER GLI IDEALI DI Z [x] 139
Préface: Premessa 139
Chapitre: 1. Sistemi normali 139
Chapitre: 2. Segnature 141
Chapitre: 3. Teorema Fondamentale 145
Chapitre: Nota 147
Bibliographie 148
Rubrique: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE 151
Chapitre: ANNOUNCEMENT FROM THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION ABOUT AN ICMI-SYMPOSIUM TO BE HELD AT THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, HELSINKI, AUGUST 1978, ON THE FOLLOWING THEME: 151
Article: THE GELFAND-NAIMARK THEOREMS FOR C*-ALGEBRAS 153
Chapitre: 1. Introduction 153
Chapitre: 2. Definitions and motivation 154
Chapitre: 3. Historical Development 155
Chapitre: 4. The Gelfand-Naimark representation theorem for commutative b*-algebras 157
Chapitre: 5. The Gelfand-Naimark theorem for arbitrary B*-algebras 160
Chapitre: 6. Geometrical characterizations of B*-algebras 172
Chapitre: 7. Further weakening of the B*-axioms 175
Chapitre: 8. Applications 177
Bibliographie 178
Article: REPRESENTATION OF COMPLETELY CONVEX FUNCTIONS BY THE EXTREME-POINT METHOD 181
Chapitre: 0. Introduction 181
Chapitre: 1. Completely convex functions 182
Chapitre: 2. Determination of the extreme rays of W 184
Chapitre: 3. Determination of a base for W 187
Bibliographie 190
Article: SOME CONTRIBUTIONS OF BENO ECKMANN TO THE DEVELOPMENT OF TOPOLOGY AND RELATED FIELDS 191
Chapitre: Introduction 191
Chapitre: 1. Continuous solutions of Systems of linear equations 193
Chapitre: 2. A group theoretical proof of the Hurwitz-Radon Theorem 195
Chapitre: 3. Complexes with operators 197
Chapitre: 5. Simple homotopy type 202
Bibliographie 204
Article: ON THE CHARACTERISTIC CLASSES OF GROUPS OF DIFFEOMORPHISMS 209
Bibliographie 219
Article: ALTERNATIVE HOMOTOPY THEORIES 221
Chapitre: 1. Introduction 221
Chapitre: 2. EQUIVARIANT HOMOTOPY THEORY 223
Chapitre: 3. Some examples 225
Chapitre: 4. Ex-HOMOTOPY THEORY 227
Chapitre: 5. The register theorem 229
Chapitre: 6. The exact sequence 230
Chapitre: 7. The adjoint G-bundle 232
Chapitre: 8. Examples 235
Bibliographie 237
Article: LA (2p+1)-ÈME DÉVIATION D'UN ANNEAU LOCAL 239
Chapitre: Introduction 240
Chapitre: 2p premières déviations 241
Chapitre: 2p + 1-ème déviation 243
Chapitre: Situation générique 245
Chapitre: Conclusion 246
Bibliographie 247
Article: CHARACTERISTIC NUMBERS OF 3-MANIFOLDS 249
Bibliographie 254
Article: ON REPRESENTATION OF FUNCTIONS BY MEANS OF SUPERPOSITIONS AND RELATED TOPICS 255
Résumé: CONTENTS 255
Chapitre: Preface 256
Chapitre: Chapter 1. — Survey of results 257
Chapitre: §1. Superpositions of analytic functions 258
Chapitre: §2. The problem of resolvents 259
Chapitre: §3. Superpositions of smooth functions and the theory of approximation 261
Chapitre: §4. Superpositions of continuons functions 263
Chapitre: §5. Linear superpositions 265
Chapitre: Chapter 2. — Superpositions of smooth functions 267
Chapitre: §1. The notion of entropy 267
Chapitre: §2. The entropy of the space of smooth functions 269
Chapitre: §3. Theorem on superpositions of smooth functions 276
Chapitre: Chapter 3. — Superpositions of continuous functions 277
Chapitre: §1. Certain improvements of Kolmogorov 's theorem 277
Chapitre: §2. The theorem of Kahane 279
Chapitre: §3. The main lemma 280
Chapitre: §4. The proof of the theorem 282
Chapitre: Chapter 4. — Linear superpositions 283
Chapitre: §1. Notation 283
Chapitre: §2. Estimate of the difference of the integrais of one term of a superposition along nearby level curves 284
Chapitre: §3. Deletion of dependent terms 288
Chapitre: §4. Reduction of linear superpositions to a form with independent terms 292
Chapitre: §5. The set of linear superpositions in the space of continuous functions is closed 296
Chapitre: §6. The set of linear superpositions in the space of continuous functions is nowhere dense 299
Chapitre: Chapter 5. — Dimension of the space of linear superpositions 302
Chapitre: §1. (ε,δ)-entropy and the "dimension" of function spaces 302
Chapitre: §2. (ε,δ)-entropy of the set of linear superpositions 306
Chapitre: §3. Functional "dimension" of the space of linear superpositions 311
Chapitre: §4. Variation of superpositions of smooth functions 312
Chapitre: §5. Instability of the representation of functions as superpositions of smooth functions 316
Bibliographie 317
Rubrique: BULLETIN BIBLIOGRAPHIQUE 1
Rubrique: BULLETIN BIBLIOGRAPHIQUE 49
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