Mathematical Sciences: Low Dimensional Topology

数学科学：低维拓扑

• 批准号: 8901412
• 负责人: Michael Freedman
• 金额: $ 27.31万
• 依托单位: University of California-San Diego
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-07-15 至 1992-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8901412&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Low; Dimensional; Topology

8901412 Freedman The fundamental group restrictions presently required on the basic tools of 4-dimensional topology will be further explored. An effort will be made to evaluate -- zero or non-zero -- previously defined obstructions to the unfettered application of these tools. Towers of two-fold covers are to be employed as a useful way of organizing the secondary information whose efficient handling is a necessity for any successful outcome. The investigator is also alert to the contrary possibility that the obstruction vanishes, and the present approach is designed to pursue both possibilities together.

8901412 Freedman 将进一步探讨目前 4 维拓扑基本工具所需的基本群限制。 将努力评估先前定义的对这些工具的不受限制的应用的障碍（零或非零）。 采用双层封面塔作为组织次要信息的有用方式，其有效处理是任何成功结果的必要条件。 研究者还警惕障碍消失的相反可能性，并且本方法旨在同时追求这两种可能性。