Algebraic K-theory, commutative algebra, and algebraic geometry: proceedings of the U.S.--Italy joint seminar held…
by Pedrini, Claudio, Consiglio nazionale delle ricerche (Italy), Dennis, R. K., (R. Keith), Stein, Michael R., U.S.--Italy Joint Seminar on Algebraic K-Theory, Commutative Algebras, and Algebraic Geometry, Santa Margherita Ligure, Italy), National Science Foundation (U.S.)
fromContemporary mathematics (American Mathematical Society)
On the groups JO(G)
by Wasserman, Arthur, Lee, Chung-Nim
fromMemoirs of the American Mathematical Society
The authors continue the work of M.F. Atiyah, D.O. Tall, and V.P. Snaith, with the purpose of classifying real representations of a compact Lie group G under stable J-equivalence. The authors end with a section of computations, conjectures and counterexamples.
This paper constructs and studies a family {[italic]Q[italic]n} of operations in complex connective K-theory. The operations arise from splitting [italic]b[italic]u [wedge product symbol]∧[italic]b[italic]u (localized at a prime p) into a wedge of summands. The operations are ap…
This paper studies the mod 2 cohomology [italic]H*[italic]X of finite [italic]H-spaces. It is shown that when [italic]X is connected and simply connected then [italic]H*[italic]X has no indecomposables of even degree. As a consequence, [italic]H*([capital Greek]Omega[italic]X;[b…
S-modules in the category of schemes
by Hu, Po
fromMemoirs of the American Mathematical Society
We define and investigate a class of categories with formal properties similar to those of the homotopy category of spectra. This class includes suitable versions of the derived category of modules over a commutative ring, or of comodules over a commutative Hopf algebra, and is …
For each odd prime 'p' a simply connected finite H-space is constructed with p-torsion in homology. Implications of the examples for the theory of finite H-spaces are examined. Applications of the techniques used for the main results are given to mod p decomposition problems. An…
In this monograph, the theory of spectral sequence constructors is developed, the four main constructions of the spectral sequence of a Hopf algebra extension are discussed and compared, and a uniqueness theorem for the spectral sequence is proved. A similar study is made of the…