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  • © 1980

Algebraic Structure of Knot Modules

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 772)

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Table of contents (31 chapters)

  1. Front Matter

    Pages I-XI
  2. The derived exact sequences

    • Jerome P. Levine
    Pages 1-4
  3. Finite modules

    • Jerome P. Levine
    Pages 4-6
  4. Realization of finite modules

    • Jerome P. Levine
    Pages 6-8
  5. Δi of finite modules

    • Jerome P. Levine
    Pages 8-9
  6. Product structure on finite modules

    • Jerome P. Levine
    Pages 9-16
  7. Classification of derived product structure

    • Jerome P. Levine
    Pages 16-18
  8. Rational invariants

    • Jerome P. Levine
    Pages 18-20
  9. Z-torsion-free modules

    • Jerome P. Levine
    Pages 20-21
  10. Π-only torsion

    • Jerome P. Levine
    Pages 21-23
  11. Statement of realization theorem

    • Jerome P. Levine
    Pages 23-24
  12. Inductive construction of derived sequences

    • Jerome P. Levine
    Pages 24-26
  13. Inductive recovery of derived sequences

    • Jerome P. Levine
    Pages 26-32
  14. Homogeneous and elementary modules

    • Jerome P. Levine
    Pages 32-34
  15. Realization of elementary modules

    • Jerome P. Levine
    Pages 34-36
  16. Classification of elementary modules

    • Jerome P. Levine
    Pages 36-39
  17. Completion of proof

    • Jerome P. Levine
    Pages 39-40
  18. Classification of Π-primary modules

    • Jerome P. Levine
    Pages 40-46
  19. Classification fails in degree 4

    • Jerome P. Levine
    Pages 46-47
  20. Product structure on Π-primary modules

    • Jerome P. Levine
    Pages 48-53

Bibliographic Information

  • Book Title: Algebraic Structure of Knot Modules

  • Authors: Jerome P. Levine

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0091572

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1980

  • Softcover ISBN: 978-3-540-09739-6Published: 01 February 1980

  • eBook ISBN: 978-3-540-38555-4Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XIV, 110

  • Topics: Algebraic Topology

Buy it now

Buying options

eBook USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
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