Algebraic Structure of Knot Modules

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Hlavní autor: Levine, Jerome Paul, 1937-2006
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Edice:Lecture notes in mathematics 772
Témata:
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Edition sous un autre format:• Algebraic structure of knot modules, Jerome P. Levine, 1980, Berlin [etc.], Springer-Verlag, 1 vol. (XI-104 p.), Lecture notes in mathematics, 0-387-09739-2
• Algebraic Structure of Knot Modules, Texte imprimé, 9783662211151
Obsah:
  • The derived exact sequences
  • Finite modules
  • Realization of finite modules
  • ?i of finite modules
  • Product structure on finite modules
  • Classification of derived product structure
  • Rational invariants
  • Z-torsion-free modules
  • ?-only torsion
  • Statement of realization theorem
  • Inductive construction of derived sequences
  • Inductive recovery of derived sequences
  • Homogeneous and elementary modules
  • Realization of elementary modules
  • Classification of elementary modules
  • Completion of proof
  • Classification of ?-primary modules
  • Classification fails in degree 4
  • Product structure on ?-primary modules
  • Classification of product structure
  • Realization of product structure on homogeneous modules
  • Product structure on semi-homogeneous modules
  • A non-semi-homogeneous module
  • Rational classification of product structure
  • Non-singular lattices over a Dedekind domain
  • Norm criterion for a non-singular lattice
  • Dedekind criterion: p-adic reduction
  • A computable Dedekind criterion
  • Computation of low-degree cases
  • Determination of ideal class group
  • The quqdratic symetric case.