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...
| Κύριος συγγραφέας: | |
|---|---|
| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
New York, NY :
Springer New York : Imprint: Springer,
2015.
|
| Σειρά: | Springer Monographs in Mathematics,
|
| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.