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AuthorLevine, Jerome P. author
TitleAlgebraic Structure of Knot Modules [electronic resource] / by Jerome P. Levine
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1980
Connect tohttp://dx.doi.org/10.1007/BFb0091572
Descript XIV, 110 p. online resource

CONTENT

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


Mathematics Algebraic topology Mathematics Algebraic Topology



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