HIGHER CATEGORICAL STRUCTURES IN HOMOTOPY THEORY AND HOMOLOGICAL ALGEBRA

同伦理论和同调代数中的更高范畴结构

• 批准号: DP0558598
• 负责人: Dr Simona Paoli
• 金额: $ 14.92万
• 依托单位: Macquarie University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2005
• 资助国家: 澳大利亚
• 起止时间: 2005-06-27 至 2009-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0558598
• 关键词: HIGHER; CATEGORICAL; STRUCTURES; HOMOTOPY; THEORY

This proposal falls in an area of research, that of higher categories, which has been receiving a lot of attention in recent years and which has applications to diverse areas of mathematics. The proposed research will contribute to continue the prominent role of Australian Research in this rapidly expanding field. History has proved that fundamental research in pure mathematics in the long term produces major and often unexpected outcomes in applied sciences which have a direct impact on society. The area of higher categories has already proved to have an impact on applied fields such as computer science.

该提案属于研究领域，即较高类别，近年来一直受到广泛关注，并且在不同的数学领域有应用。拟议的研究将有助于继续澳大利亚研究在这个迅速扩展的领域中的重要作用。历史证明，长期纯粹的数学研究基础研究在对社会有直接影响的应用科学中产生了主要且经常出乎意料的结果。较高类别的领域已经被证明对计算机科学等应用领域有影响。