A case when the fiber of the double suspension is the double loops on Anick's space

Stephen D Theriault

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The fiber Wn of the double suspension S2n−1 → Ω2S2n+1 is known to have a classifying space BWn. An important conjecture linking the EHP sequence to the homotopy theory of Moore spaces is that BWn ≃ ΩT2np+1(p), where T2np+1(p) is Anick’s space. This is known if n = 1. We prove the n = p case and establish some related properties.
Original languageEnglish
Pages (from-to)730-736
Number of pages7
JournalCanadian Mathematical Bulletin
Volume53
Early online date26 Jul 2010
DOIs
Publication statusPublished - Dec 2010

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