我們將證明bu^BSO(2n)的上同調群同構於一系列E–模的直和，E=Z/2<Q_(0),Q_(1)>, n>=2。這將會給出BSO(2n)的連通K–理論的代數穩定分解。

We show that the mod 2 cohomology of bu^BSO(2n) is isomorphic to a direct sum of E-modules, E=Z/2<Q_(0),Q_(1)>, n>=2. This would give the algebraic splitting of the complex connective K-theory of BSO(2n).

誌謝
摘要
Abstract
1.Motivation---------------------------------------1
2.Introduction-------------------------------------2
3.Background and main result-----------------------5
4.Basic Notions------------------------------------9
5.Algebraic splitting of the spectra---------------12
6.Addendum-----------------------------------------19
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