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Handbook of K-Theory by Eric Friedlander, Daniel R. Grayson PDF

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By Eric Friedlander, Daniel R. Grayson

ISBN-10: 354023019X

ISBN-13: 9783540230199

This guide deals a compilation of concepts and leads to K-theory.These volumes include chapters, every one of that's devoted to a selected subject and is written by means of a number one professional. Many chapters current old history; a few current formerly unpublished effects, while a few current the 1st expository account of a subject matter; many talk about destiny instructions in addition to open difficulties. the final motive of this instruction manual is to provide the reader an exposition of our present country of data in addition to an implicit blueprint for destiny study. This guide might be particularly helpful for college kids wishing to acquire an summary of K-theory and for mathematicians attracted to pursuing demanding situations during this swiftly increasing box.

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5 Filtrations as a Source of Spectral Sequences . . . . . . . . . . . . . . . . . 6 Commuting Automorphisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 Cancellation and Comparison with Motivic Cohomology . . . . . . . 8 Higher Chow Groups and a Motivic Spectral Sequence . . . . . . . . . 9 Extension to the Global Case . . . . . . . . . . . . . . . . .

2 Algebraic K-Theory and Cohomology . . . . . . . . . . . . . . . . . . . . . . . 3 Topological K-Theory and Cohomology . . . . . . . . . . . . . . . . . . . . . 4 The Motivic Spectral Sequence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Filtrations as a Source of Spectral Sequences . .

260 (1980), no. 1, 223–253. 5. Bass, Hyman, Algebraic K-theory. A. , New York-Amsterdam 1968. 6. Carlsson, Gunnar and Pedersen, Erik Kjaer, Controlled algebra and the Novikov conjectures for K- and L-theory. Topology 34 (1995), no. 3, 731–758. ˇ 7. Carlsson, Gunnar and Pedersen, Erik Kjaer, Cech homology and the Novikov conjectures for K- and L-theory. Math. Scand. 82 (1998), no. 1, 5–47. 8. Carlsson, Gunnar, Bounded K-theory and the assembly map in algebraic Ktheory. Novikov conjectures, index theorems and rigidity, Vol.

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Handbook of K-Theory by Eric Friedlander, Daniel R. Grayson


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