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Derived Manifolds from Functors of Points

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Vogler, Franz
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin : Logos Verlag Berlin, 2013.
Colección:Augsburger Schriften Zur Mathematik, Physik und Informatik Ser.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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