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Derived Manifolds from Functors of Points
Annotation
| Call Number: | Libro Electrónico |
|---|---|
| Main Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Berlin :
Logos Verlag Berlin,
2013.
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| Series: | Augsburger Schriften Zur Mathematik, Physik und Informatik Ser.
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| Subjects: | |
| Online Access: | Texto completo |
Table of Contents:
- Intro; 1 Introduction; 1.1 Motivation and Accomplishments; 1.2 Organisation of the Chapters; 1.3 Background and Notation; 1.4 Acknowledgements; 2 Analysis of Model Structures; 2.1 Objectwise Adjoints; 2.2 The Global Model Structures; 2.3 Simplicial Enrichment of Model Categories; 2.4 Absolute derived Functors; 2.5 Homotopy Limits as absolute derived Functors; 2.6 The left Bousfield Localization; 2.7 Sites and their Morphisms; 2.8 Homotopy Sheaves; 3 Smooth Functors as C1-Schemes; 3.1 Commutative Algebra with C1-Rings; 3.2 C1-rings and Topology; 3.3 C1-Schemes from Smooth Functors
- 3.4 The Big Structure Sheaf3.5 C1-ringed Spaces as C1-Schemes; 3.6 From Smooth Functors to C1-Ringed Spaces; 4 Derived Manifolds as Functors; 4.1 The Layout for Smooth Rings; 4.2 Topology for Smooth Rings; 4.3 Derived Manifolds from Smooth-Simplicial Functors; 4.4 The Global Structure Sheaf; 4.5 Derived Manifolds as Ringed Spaces; 4.6 The Functor approach to LRS