Some applications of set theory to measure theory and general topology

集合论在测度论和一般拓扑中的一些应用

• 批准号: 105396-2008
• 负责人: Burke, Maxim
• 金额: $ 1.38万
• 依托单位: University of Prince Edward Island
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2010
• 资助国家: 加拿大
• 起止时间: 2010-01-01 至 2011-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=451261
• 关键词: Some; applications; set; theory; measure

My research focuses on general topology and measure theory. Some of the research has a set-theoretic flavor, as both of these areas occasionally require the use of deep set-theoretic techniques. The method of forcing especially, since 1963 when it was developed by Paul Cohen for proving that the Continuum Hypothesis is not decidable on the basis of the usual axioms for set theory, has led to important advances in these areas.

我的研究主要集中在一般拓扑学和测度理论。一些研究具有集合论的味道，因为这两个领域偶尔需要使用深层的集合论技术。特别是强迫的方法，自1963年以来，它是由保罗·科恩（Paul Cohen）开发的，用于证明连续统假设在集合论的通常公理的基础上是不可判定的，导致了这些领域的重要进展。