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Algebraic K-Theory II. Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute, August 28 - September 8, 1972: "Classical" Algebraic K-Theory, and Connections with Arithmetic: Lecture Notes in Mathematics, cartea 342

Autor Hyman Bass
en Limba Engleză Paperback – 1973

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Specificații

ISBN-13: 9783540064350
ISBN-10: 3540064354
Pagini: 544
Ilustrații: XV, 527 p.
Dimensiuni: 155 x 235 x 29 mm
Greutate: 0.75 kg
Ediția:1973
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Some problems in "classical" algebraic K-theory.- Comparison of algebraic and topological K-theory.- Applications algebriques du tore dans la sphere et de Sp × Sq dans Sp+q.- On the Ko of certain polynomial extensions.- K0 and K1 of polynomial rings.- Base change for K0 of algebraic varieties.- On free product of rings and the coherence property.- Whitehead groups of free products with amalgamation.- Whitehead groups of generalized free products.- Contributions to the theory of induced representations.- The functor K2: A survey of computations and problems.- Variations on Milnor's computation of K2Z.- Decomposition formula of laurent extension in algebraic K-theory and the role of codimension 1 submanifold in topology.- Pseudo-isotopy and K2.- Suspension, automorphisms, and division algebras.- The Milnor ring of a global field.- On the quaternion symbol homomorphism gF: k2F?B(F).- On the torsion in K2 of local fields.- Continuous symbols on fields of formal power series.- Values of zeta-functions, étale cohomology, and algebraic K-theory.- "K-theory and Iwasawa's analogue of the Jacobian".- Research problems: Arithmetic cuestions in K-theory.- Letter from tate to Iwasawa on a relation between K2 and galois cohomology.