retort 发表于 2025-3-21 16:16:21

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种植,培养 发表于 2025-3-21 23:31:56

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GRIN 发表于 2025-3-22 03:08:00

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修正案 发表于 2025-3-22 06:53:06

Localization and completion in ,-theoryy reducing the computation for a complicated ring to simpler rings (e.g. fields). The classic example of localization and completion is the Hasse-Minkowski principle by which quadratic forms over ℤ are related to quadratic forms over ℚ and the finite fields F. and the .-adic completions ., . of ℤ, ℚ

Engulf 发表于 2025-3-22 11:57:35

Algebraic transversalityclic covers of compact manifolds and finite . complexes. Refer to Ranicki for a previous account of algebraic transversality: here, only the additional results required for the new applications are proved. The construction in Part Two of the algebraic invariants of knots will make use

胆小懦夫 发表于 2025-3-22 14:34:38

Noncommutative localizatione noncommutative rings. High-dimensional knot theory requires the noncommutative localization matrix inversion method of Cohn , . The algebraic .- and .-theory invariants of codimension 2 embeddings frequently involve this type of localization of a polynomial ring, as will become apparent in

oblique 发表于 2025-3-22 18:29:13

Endomorphism ,-theoryith an endomorphism . : . → . is essentially the same as a module (., .) over the polynomial ring .[.], with the indeterminate . acting on . by . This correspondence will be used to relate the algebraic .-groups .. (...[.]) of the localizations ...[.] of .[.] to the .-groups of pairs (., .) with . a

抱负 发表于 2025-3-22 23:57:06

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增强 发表于 2025-3-23 01:51:30

Witt vectorstermines the endomorphism .-theory class. In Chap. 17 the Reidemeister torsion of an .-contractible finite f.g. .[., ..]-module chain complex . will be identified with the Witt vector determined by the Alexander polynomials. In the applications to knot theory in Chap. 33 . will be the cellular chain

离开就切除 发表于 2025-3-23 07:50:34

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查看完整版本: Titlebook: High-dimensional Knot Theory; Algebraic Surgery in Andrew Ranicki Book 1998 Springer-Verlag Berlin Heidelberg 1998 K-theory.homology.knots.