Mathematical Sciences: Cyclic Homology

数学科学：循环同调

• 批准号: 8808364
• 负责人: Marta Pecuch de Herrero
• 金额: $ 1.2万
• 依托单位: Arizona State University
• 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: 1988-07-01 至 1989-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8808364&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Cyclic; Homology

This Research Opportunities for Women planning grant will support Dr. Herrero in reorienting and reactivating her research program in an area of mathematics that has come to be known as noncommutative algebraic topology. There is a great deal of activity currently in this field, which draws on ideas from functional analysis as well as from geometry and topology. The central thrust is to go from topological spaces to algebras of functions on them and then to more general sorts of algebras, thereby putting the powerful machinery of differential geometry and algebraic topology to work on a greater variety of problems.

这项妇女研究机会规划赠款将 支持Herrero博士重新定位和重新启动她的研究 数学领域的一个项目， 非交换代数拓扑 有大量的 目前在这一领域的活动，其中借鉴了思想， 功能分析以及几何和拓扑学。 的 其核心是从拓扑空间到代数， 它们上的函数，然后是更一般类型的代数， 从而将强大的微分几何学 和代数拓扑学来解决更多种类的问题。