Skip to main content
Article thumbnail
Location of Repository

The 3-primary classifying space of the fiber of the double suspension

By Stephen D. Theriault and Communicated Paul Goerss


Abstract. Gray showed that the homotopy fiber Wn of the double suspension S2n−1 E2 − → Ω2S2n+1 has an integral classifying space BWn, which fits in a homotopy fibration S2n−1 E2 − → Ω2S2n+1 ν − → BWn. In addition, after localizing at an odd prime p, BWn is an H-space and if p ≥ 5, then BWn is homotopy associative and homotopy commutative, and ν is an H-map. We positively resolve a conjecture of Gray’s that the same multiplicative properties hold for p = 3 as well. We go on to give some exponent consequences. 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • (external link)
  • (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.