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  • Book
  • © 1968

Algebraic K-Theory

Authors:

  1. R. G. Swan
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 76)

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Table of contents (19 chapters)

  1. Front Matter

    Pages I-IV
    PDF

  2. Category Theory

    • R. G. Swan
    Pages 1-40

  3. Quotient categories

    • R. G. Swan
    Pages 40-64

  4. Definition of KO(A) and some examples

    • R. G. Swan
    Pages 65-75

  6. Definition of G(R) and examples

    • R. G. Swan
    Pages 92-100

  7. The connection between KO(R) and GO(R)

    • R. G. Swan
    Pages 100-109

  9. KO of graded rings

    • R. G. Swan
    Pages 124-131

  10. Spec (R) and H(R)

    • R. G. Swan
    Pages 132-145

  11. Picard group and the determinant

    • R. G. Swan
    Pages 146-155

  12. Basic topological remarks

    • R. G. Swan
    Pages 155-160

  14. Serre's theorem

    • R. G. Swan
    Pages 170-183

  15. Cancellation theorems

    • R. G. Swan
    Pages 183-193

  16. K1(A)

    • R. G. Swan
    Pages 193-204

  17. K2(R)

    • R. G. Swan
    Pages 204-211

  18. The exact sequence of Ki's

    • R. G. Swan
    Pages 211-223

  19. Further results on K1 and K0

    • R. G. Swan
    Pages 224-247
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About this book

From the Introduction: "These notes are taken from a course on algebraic K-theory [given] at the University of Chicago in 1967. They also include some material from an earlier course on abelian categories, elaborating certain parts of Gabriel's thesis. The results on K-theory are mostly of a very general nature."
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Keywords

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Bibliographic Information

  • Book Title: Algebraic K-Theory

  • Authors: R. G. Swan

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0080281

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1968

  • Softcover ISBN: 978-3-540-04245-7Published: 16 December 1968

  • eBook ISBN: 978-3-540-35917-3Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: IV, 264

  • Topics: Algebra

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Buy it now

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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