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Local Homotopy Theory
This monograph on the homotopy theory of topologized diagrams of spaces and spectra gives an expert account of a subject at the foundation of motivic homotopy theory and the theory of topological modular forms in stable homotopy theory. Beginning with an introduction to the homotopy theory of simpli...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2015.
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| Edición: | 1st ed. 2015. |
| Colección: | Springer Monographs in Mathematics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Preface
- 1 Introduction
- Part I Preliminaries
- 2 Homotopy theory of simplicial sets
- 3 Some topos theory
- Part II Simplicial presheaves and simplicial sheaves
- 4 Local weak equivalences
- 5 Local model structures
- 6 Cocycles
- 7 Localization theories
- Part III Sheaf cohomology theory
- 8 Homology sheaves and cohomology groups
- 9 Non-abelian cohomology
- Part IV Stable homotopy theory
- 10 Spectra and T-spectra
- 11 Symmetric T-spectra
- References
- Index.