Arrangements of hyperplanes and combinatorial constructions in topology

拓扑中超平面的排列和组合结构

• 批准号: 249737-2007
• 负责人: Denham, Graham
• 金额: $ 1.09万
• 依托单位: University of Western Ontario
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2009
• 资助国家: 加拿大
• 起止时间: 2009-01-01 至 2010-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=426054
• 关键词: Arrangements; hyperplanes; combinatorial; constructions; topology

This research is in an area of mathematics known as algebraic or topological combinatorics. The main theme is an interchange of ideas and techniques: the traditional core subjects (algebraic topology, algebraic geometry) have deep and surprising applications to discrete (combinatorial) mathematics of the sort that continually arises in computer science and operations research. Reciprocally, combinatorial methods can sometimes be used to construct interesting families of "test" objects for use as concrete tools in exploring otherwise abstract conceptual landscapes.

这项研究是在被称为代数或拓扑组合学的数学领域进行的。主要主题是思想和技术的交流：传统的核心学科(代数拓扑学、代数几何)对离散(组合)数学有着深刻而令人惊讶的应用，这种数学在计算机科学和运筹学中不断出现。反过来，组合方法有时可以用来构建有趣的“测试”对象家族，用作探索其他抽象的概念性景观的具体工具。