Deconstructing Hopf spaces

• 成果类型: Article
• 署名作者: Castellana, Natalia; Crespo, Juan A.; Scherer, Jerome
• 署名单位: Autonomous University of Barcelona; Universidad Carlos III de Madrid
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-006-0518-8
• 发表日期: 2007
• 页码: 1-18
• 关键词: h-spaces; loop-spaces; COHOMOLOGY; conjecture; Algebra; MODULES; MAPS

摘要

We characterize Hopf spaces with finitely generated cohomology as an algebra over the Steenrod algebra. We deconstruct the original space into an H-space Y with finite mod p cohomology and a finite number of p-torsion Eilenberg-Mac Lane spaces. We give a precise description of homotopy commutative H-spaces in this setting.