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

数学科学：强调分类空间之间的映射的同伦理论

• 批准号: 8803279
• 负责人: James McClure
• 金额: $ 3.67万
• 依托单位: University of Kentucky Research Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-06-15 至 1990-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8803279&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Homotopy; Theory; Emphasis

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.

计划中的研究涉及代数拓扑学的四个不同领域。首先，首席调查员打算继续调查分类空间之间的地图。其次，他打算应用该学科发展的方法来研究由弗雷德·科恩提出的稳定的Barratt猜想。第三，他打算扩展和简化Bokstedt最近在Hochschild同调和代数K-理论方面的工作。最后，他打算研究他所构造的K-理论中的某些新的初等运算与Kane和Lin在有限H-空间的K-理论上的工作之间的关系。