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