Mathematical Sciences: Combinatorics: Ultrafilters, Semigroups and Ramsey Theory

数学科学：组合数学：超滤器、半群和拉姆齐理论

• 批准号: 8901058
• 负责人: Neil Hindman
• 金额: $ 6.49万
• 依托单位: Howard University
• 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: 1989-06-01 至 1991-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8901058&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Combinatorics; Ultrafilters; Semigroups

This award supports the research in Ramsey Theory of Professor Neil Hindman of Howard University. Dr. Hindman's research will center on investigations relating combinatorial partition theory and the theory of left-topological semigroups. This research falls in the broad category of Combinatorics, which is one of the most active fields in today's mathematics. Fundamentally, Combinatorics represents a systematization of the very first of all mathematical activities, counting. In its modern development, however, Combinatorics has gone beyond just counting to make use of a wide variety of advanced mathematical techniques, and although its roots go back several centuries, the field has had an explosive development in the past few decades because of its importance in communications and information technology.

该奖项支持霍华德大学Neil Hindman教授的拉姆齐理论研究。 Hindman 博士的研究将集中于与组合划分理论和左拓扑半群理论相关的研究。 这项研究属于组合数学的广泛范畴，它是当今数学中最活跃的领域之一。 从根本上说，组合学代表了所有数学活动中最重要的活动——计数的系统化。然而，在其现代发展中，组合学已经超越了单纯的计数，而是利用了各种先进的数学技术，尽管其根源可以追溯到几个世纪前，但由于其在通信和信息技术中的重要性，该领域在过去几十年中取得了爆炸性的发展。