On the cohomology of highly connected covers of finite Hopf spaces

Natàlia Castellana, Juan A. Crespo, Jérôme Scherer

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Abstract

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. © 2007 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)250-262
JournalAdvances in Mathematics
Volume215
Issue number1
DOIs
Publication statusPublished - 20 Oct 2007

Keywords

  • André-Quillen homology
  • Eilenberg-Moore spectral sequence
  • Fibrations
  • H-space
  • Steenrod algebra

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