Book Volume 220 2003

Smooth Manifolds and Observables

Authors:

ISBN: 978-0-387-95543-8 (Print) 978-0-387-22739-9 (Online)

Table of contents (11 chapters)

  1. Front Matter

    Pages i-xiv

  2. No Access

    Chapter

    Pages 1-11

    Introduction

  3. No Access

    Chapter

    Pages 13-19

    Cutoff and Other Special Smooth Functions on ℝn

  4. No Access

    Chapter

    Pages 21-36

    Algebras and Points

  5. No Access

    Chapter

    Pages 37-51

    Smooth Manifolds (Algebraic Definition)

  6. No Access

    Chapter

    Pages 53-63

    Charts and Atlases

  7. No Access

    Chapter

    Pages 65-76

    Smooth Maps

  8. No Access

    Chapter

    Pages 77-84

    Equivalence of Coordinate and Algebraic Definitions

  9. No Access

    Chapter

    Pages 85-93

    Spectra and Ghosts

  10. No Access

    Chapter

    Pages 95-141

    The Differential Calculus as a Part of Commutative Algebra

  11. No Access

    Chapter

    Pages 143-161

    Smooth Bundles

  12. No Access

    Chapter

    Pages 163-206

    Vector Bundles and Projective Modules

  13. Back Matter

    Pages 207-222