Mathematical Sciences: Problems in Ramsey Theory

数学科学：拉姆齐理论中的问题

• 批准号: 9011850
• 负责人: Vojtech Rodl
• 金额: $ 8.16万
• 依托单位: Emory University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-12-15 至 1994-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9011850&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Problems; Ramsey; Theory

This award supports the research of Professor V. Rodl to work in the theory of hereditary classes and Euclidean Ramsey theory. Rodl will work on structural Ramsey type theorems on set systems, vector spaces and their combinatorial analogues such as parameter words and lattices. He will also work on the quantitative aspects by attempting to evaluate the size and numbers of the corresponding objects The research falls into the general area of combinatorics. This is at the same time one of the oldest yet one of the most active areas of mathematics. Combinatorics attempts to find efficient methods to study how discrete collections of objects can be organized. And, so it is extremely important to modern communications.

该奖项支持V.Rodl教授在遗传类理论和欧几里德·拉姆齐理论方面的研究。Rodl将致力于关于集合系统、向量空间及其组合类似物(如参数词和格)的结构Ramsey型定理。他还将致力于定量方面的工作，试图评估属于组合学一般领域的相应研究对象的大小和数量。同时，这也是最古老但也是最活跃的数学领域之一。组合学试图找到有效的方法来研究如何组织离散的对象集合。因此，它对现代通信极其重要。