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Multiplicative Properties of the Slice Filtration

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Author(s): Pablo Pelaez
Series: Astérisque 335
Publisher: Société Mathématique de France
Year: 2011

Language: English

Introduction
Acknowledgements
Chapter 1. Preliminaries
1.1. Model Categories
1.2. Cofibrantly Generated Model Categories
1.3. Cellular Model Categories
1.4. Proper Model Categories
1.5. Simplicial Sets
1.6. Simplicial Model Categories
1.7. Symmetric Monoidal Model Categories
1.8. Localization of Model Categories
1.9. Bousfield Localization
Chapter 2. Motivic Unstable and Stable Homotopy Theory
2.1. The Injective Model Structure
2.2. Cellularity of the Injective Model Structure
2.3. The Motivic Model Structure
2.4. The Motivic Stable Model Structure
2.5. Cellularity of the Motivic Stable Model Structure
2.6. The Motivic Symmetric Stable Model Structure
2.7. Cellularity of the Motivic Symmetric Stable Model Structure
2.8. Modules and Algebras of Motivic Symmetric Spectra
Chapter 3. Model Structures for the Slice Filtration
3.1. The Slice Filtration
3.2. Model Structures for the Slice Filtration
3.3. The Symmetric Model Structure for the Slice Filtration
3.4. Multiplicative Properties of the Slice Filtration
3.5. Further Multiplicative Properties of the Slice Filtration
3.6. Applications
Bibliography
Index