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弗里德曼将进一步探讨目前在四维拓扑的基本工具上所需的基本群限制。将努力评估两层盖的塔将被用作组织二次信息的一种有用的方式，其有效处理是任何成功结果所必需的。调查人员还警惕障碍消失的相反可能性，目前的方法旨在同时追求这两种可能性。