Friedlander E.M. (ed.), Grayson D.R. (ed.) — Handbook of K-Theory :: Электронная библиотека попечительского совета мехмата МГУ

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Friedlander E.M. (ed.), Grayson D.R. (ed.) — Handbook of K-Theory

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Название: Handbook of K-Theory

Авторы: Friedlander E.M. (ed.), Grayson D.R. (ed.)

Аннотация:

This handbook offers a compilation of techniques and results in K-theory.

These two volumes consist of chapters, each of which is dedicated to a specific topic and is written by a leading expert. Many chapters present historical background; some present previously unpublished results, whereas some present the first expository account of a topic; many discuss future directions as well as open problems. The overall intent of this handbook is to offer the interested reader an exposition of our current state of knowledge as well as an implicit blueprint for future research. This handbook should be especially useful for students wishing to obtain an overview of K-theory and for mathematicians interested in pursuing challenges in this rapidly expanding field.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2005

Количество страниц: 556

Добавлена в каталог: 30.06.2008

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Предметный указатель

Uniform embeddinginto Hilbertspace      777
Unit groups      977
Unit groups, local      978
Unit-Conjecture      730
Universal coefficient theorem      667
Unramified away from l-extensions      978
Vandiver’s Conjecture      183
Vanishing conjecture      1101
Variety, complex algebraic      592 595
Variety, projective homogeneous      1122
Variety, Severi — Brauer      1120
Virtual triangles      1019—1020
Virtually cyclic      738
Voevodsky conjecture      369
Voevodsky’s localization theorem      486
W(-)      546 560
Waldhausen K-theory      597 598 1013—1015 1050 1052—1053
Wall finiteness obstruction      578—581
Wall finiteness obstruction, epsilon-controlled      592
Wall finiteness obstruction, equivariant      593—595
Wall Realization Theorem      625
Weak equivalence      578 597
Weak equivalence of spectra      794
Weakly dualizable      973
Weight filtration      457

Weight filtration on Borel — Moore homology      910
Weight filtration on K-cohomology      285
Weight n Deligne cohomology      307
Weight-two complexes      434
Whitehead group      588 709
Whitehead group of finite group      589
Whitehead group of torsion-free group      589
Whitehead group, generalized      709
Whitehead group, higher      820
Whitehead torsion      586—589
Whitehead torsion, equivariant      595
Whitehead torsion, proper      593
Whitehead torsion, stratified      596
Witt      540
Witt complex      91
Witt group of an exact category      546
Witt groups      132
Witt ring      1110
Witt, shifted Witt groups of a triangulated category      560
Witt, Witt equivalence      546
z-equi(X, r)      1087
Zero-Divisor-Conjecture      729
Zero-in-the-spectrum Conjecture      733
Zeta function      151 152 157 161 170 390
Zink site      1008

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