On the cohomology of highly connected covers of finite Hopf spaces

• Autores: Natalia Castellana i Vila , Joan Crespo Fernández , Jérôme Scherer
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 215, Nº 1, 2007, págs. 250-262
• Idioma: inglés
• DOI: 10.1016/j.aim.2007.03.011
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• Resumen

  • Relying on the computation of the André¿Quillen homology groups for unstable Hopf algebras, we prove that if the mod p cohomology of both the fiber and the base in an H-fibration is finitely generated as algebra over the Steenrod algebra, then so is the mod p cohomology of the total space. In particular, the mod p cohomology of the n-connected cover of a finite H-space is always finitely generated as algebra over the Steenrod algebra.