Mathematical Sciences: Homotopy Theory With An Emphasis On Maps Between Classifying Spaces

预计的研究涉及四个不同领域的工作 代数拓扑 首先，首席研究员 打算继续他的调查地图之间的分类 空间. 第二，他打算采用1999年制定的方法， 该主题研究稳定的巴拉特猜想， 饰Fred Cohen 第三，他打算延长，也许 简化Bokstedt关于Hochschild同调和 代数K理论 最后，他打算调查 K理论中某些新的初等运算之间的关系， Kane和Lin关于K理论的工作， 有限H空间

The projected research involves work in four different areas of algebraic topology. First of all, the principal investigator intends to continue his investigation of maps between classifying spaces. Secondly, he intends to apply the methods developed in that subject to study the stable Barratt conjecture as formulated by Fred Cohen. Thirdly, he intends to extend and perhaps simplify recent work of Bokstedt on Hochschild homology and algebraic K-theory. Finally, he intends to investigate the relation between certain new primary operations in K-theory which he has constructed and the work of Kane and Lin on K-theory of finite H-spaces.