- Page 4 and 5: Benoit Fresse UFR de Mathématiques
- Page 6 and 7: vi Preface Γ -object, which occur
- Page 8 and 9: viii Contents 9 Algebras in Right M
- Page 10 and 11: Introduction Main Ideas and Objecti
- Page 12 and 13: Introduction 3 The category of Σ
- Page 14 and 15: Introduction 5 the bar module BC to
- Page 16 and 17: Introduction 7 modules over envelop
- Page 18 and 19: Introduction 9 to a P-algebra in ri
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- Page 22 and 23: Introduction 13 In both contexts (m
- Page 24 and 25: 22 1 Symmetric Monoidal Categories
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- Page 38 and 39: 36 2 Symmetric Objects and Functors
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50 2 Symmetric Objects and Functors
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52 2 Symmetric Objects and Functors
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54 3 Operads and Algebras in Symmet
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56 3 Operads and Algebras in Symmet
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58 3 Operads and Algebras in Symmet
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60 3 Operads and Algebras in Symmet
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62 3 Operads and Algebras in Symmet
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64 3 Operads and Algebras in Symmet
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66 3 Operads and Algebras in Symmet
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68 3 Operads and Algebras in Symmet
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70 3 Operads and Algebras in Symmet
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72 3 Operads and Algebras in Symmet
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74 3 Operads and Algebras in Symmet
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76 3 Operads and Algebras in Symmet
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78 4 Miscellaneous Structures Assoc
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80 4 Miscellaneous Structures Assoc
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82 4 Miscellaneous Structures Assoc
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84 4 Miscellaneous Structures Assoc
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86 4 Miscellaneous Structures Assoc
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88 4 Miscellaneous Structures Assoc
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90 4 Miscellaneous Structures Assoc
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92 4 Miscellaneous Structures Assoc
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Chapter 5 Definitions and Basic Con
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5.1 The Functor Associated to a Rig
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5.1 The Functor Associated to a Rig
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5.1 The Functor Associated to a Rig
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Chapter 6 Tensor Products Introduct
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6.1 The Symmetric Monoidal Category
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6.3 On Enriched Category Structures
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Chapter 7 Universal Constructions o
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7.2 Extension and Restriction of St
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7.2 Extension and Restriction of St
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7.2 Extension and Restriction of St
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122 8 Adjunction and Embedding Prop
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124 8 Adjunction and Embedding Prop
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126 8 Adjunction and Embedding Prop
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128 8 Adjunction and Embedding Prop
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130 9 Algebras in Right Modules ove
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132 9 Algebras in Right Modules ove
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134 9 Algebras in Right Modules ove
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136 9 Algebras in Right Modules ove
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138 9 Algebras in Right Modules ove
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140 10 Miscellaneous Examples 10.1.
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142 10 Miscellaneous Examples Let
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144 10 Miscellaneous Examples Proof
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146 10 Miscellaneous Examples In th
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Chapter 11 Symmetric Monoidal Model
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11.1 Recollections: The Language of
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11.1 Recollections: The Language of
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11.1 Recollections: The Language of
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11.1 Recollections: The Language of
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11.1 Recollections: The Language of
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11.2 Examples of Model Categories i
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11.2 Examples of Model Categories i
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11.2 Examples of Model Categories i
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11.3 Symmetric Monoidal Model Categ
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11.4 The Model Category of Σ∗-Ob
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11.4 The Model Category of Σ∗-Ob
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11.5 The Pushout-Product Property f
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11.6 Symmetric Monoidal Categories
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11.6 Symmetric Monoidal Categories
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11.6 Symmetric Monoidal Categories
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Chapter 12 The Homotopy of Algebras
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12.1 Semi-Model Categories 187 Simi
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12.1 Semi-Model Categories 189 The
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12.1 Semi-Model Categories 191 Say
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12.2 The Semi-Model Category of Ope
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12.2 The Semi-Model Category of Ope
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12.3 The Semi-Model Categories of A
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12.3 The Semi-Model Categories of A
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12.5 The Homotopy of Extension and
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Chapter 13 The (Co)homology of Alge
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13.1 The Construction 205 13.1.2 Pr
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13.1 The Construction 207 associate
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13.2 Universal Coefficient Spectral
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13.3 The Operadic Cotriple Construc
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13.3 The Operadic Cotriple Construc
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Chapter 14 The Model Category of Ri
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14.1 The Symmetric Monoidal Model C
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14.3 Model Categories of Algebras i
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226 15 Modules and Homotopy Invaria
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228 15 Modules and Homotopy Invaria
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230 15 Modules and Homotopy Invaria
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232 15 Modules and Homotopy Invaria
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Chapter 16 Extension and Restrictio
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16.1 Proofs 237 In the remainder of
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16.2 Applications to Bimodules over
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242 17 Miscellaneous Applications c
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244 17 Miscellaneous Applications N
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246 17 Miscellaneous Applications n
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248 17 Miscellaneous Applications B
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250 17 Miscellaneous Applications h
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252 17 Miscellaneous Applications r
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254 17 Miscellaneous Applications N
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256 17 Miscellaneous Applications a
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258 17 Miscellaneous Applications T
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Chapter 18 Shifted Modules over Ope
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18.2 Shifted Functors and Pushouts
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18.2 Shifted Functors and Pushouts
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18.2 Shifted Functors and Pushouts
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18.2 Shifted Functors and Pushouts
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Chapter 19 Shifted Functors and Pus
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19.1 Preliminary Step 279 Proof. By
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19.2 Pushouts 281 In the next proof
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19.2 Pushouts 283 and morphism (1)
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19.3 Third Step: Composites 285 19.
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Chapter 20 Applications of the Push
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20.2 Applications: Homotopy Invaria
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292 References cohomology, and alge
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294 References [57] V. Smirnov, On
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Index adjunction of symmetric monoi
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Index 299 differential graded modul
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Index 301 of simplicial sets, §11.
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Index 303 semi-model category, §12
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Glossary of Notation A: the associa
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Glossary of Notation 307 M 0 : the
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Lecture Notes in Mathematics For in
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Vol. 1874: M. Yor, M. Émery (Eds.)
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LECTURE NOTES IN MATHEMATICS Edited