Maharam's problem

• 成果类型: Article
• 署名作者: Talagrand, Michel
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2008.168.981
• 发表日期: 2008
• 页码: 981-1009
• 关键词: pathological submeasures; sequential topology; boolean-algebras; von-neumann

摘要

We construct an exhaustive submeasure that is not equivalent to a measure. This solves problems of J. von Neumann (1937) and D. Maharam (1947).