“Classical” Algebraic K-Theory, and Connections with Arithmetic
“Classical” Algebraic K-Theory, and Connections with Arithmetic Proceedings of the Conference held at the Seattle Research Center of the Battelle Memorial Institute, from August 28 to September 8, 1972 / [electronic resource] :
edited by H. Bass.
- XV, 527 p. online resource.
- Lecture Notes in Mathematics, 342 0075-8434 ; .
- Lecture Notes in Mathematics, 342 .
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.
9783540377702
10.1007/BFb0073717 doi
Algebraic topology.
Algebraic Topology.
QA612-612.8
514.2
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.
9783540377702
10.1007/BFb0073717 doi
Algebraic topology.
Algebraic Topology.
QA612-612.8
514.2