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.

这一建议属于一个研究领域，即更高类别的研究，这一领域近年来一直受到极大的关注，并应用于不同的数学领域。这项拟议的研究将有助于继续发挥澳大利亚研究在这一迅速扩大的领域中的重要作用。历史已经证明，从长远来看，纯数学的基础研究在应用科学中产生了重大的、往往是意想不到的结果，对社会产生了直接影响。更高类别的领域已经被证明对计算机科学等应用领域产生了影响。