Cohomology enhanced: an application of enriched and higher categories

增强上同调：丰富类别和更高类别的应用

• 批准号: DP0771252
• 负责人: Em/Prof Ross Street
• 金额: $ 19.15万
• 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: 2007
• 资助国家: 澳大利亚
• 起止时间: 2007-01-01 至 2010-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0771252
• 关键词: Cohomology; enhanced; application; enriched; higher

Motivated by the needs of physicists, computer scientists, and colleagues in other similar fields, mathematicians study highly complicated structures which are typically hard to understand completely in concrete terms. Cohomology is an invaluable technical tool which allows data to be extracted from these complex structures. This project will involve a radical expansion in scope of the amount and type of data so extracted. This is made possible by the most recent advances in higher-dimensional category theory.

出于物理学家、计算机科学家和 在其他类似领域的同事，数学家研究高度 通常难以理解的复杂结构 完全具体地说。上同调是一个非常宝贵的技术 这是一个工具，允许从这些复杂的结构中提取数据。 该项目将涉及金额范围的急剧扩大 以及如此提取的数据的类型。这是由最多的 高维范畴理论的最新进展。