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Algebraic Structure of Knot Modules / by Jerome P. Levine.

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Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2379,2381-2383 2385,2388-2389
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Format:
Book
Author/Creator:
Levine, Jerome P., 1937- author.
Contributor:
SpringerLink (Online service)
Series:
Lecture Notes in Mathematics, 0075-8434 ; 772.
Lecture Notes in Mathematics, 0075-8434 ; 772
Language:
English
Subjects (All):
Algebraic topology.
Algebraic Topology.
Local Subjects:
Algebraic Topology.
Physical Description:
1 online resource (XIV, 110 pages).
Contained In:
Springer eBooks
Place of Publication:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1980.
System Details:
text file PDF
Contents:
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.
Other Format:
Printed edition:
ISBN:
9783540385554
Access Restriction:
Restricted for use by site license.

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