A Case When the Fiber of the Double Suspension is the Double Loops on Anick's Space

作者：Theriault Stephen D^*

来源：Canadian Mathematical Bulletin, 2010, 53(4): 730-736.

DOI：10.4153/CMB-2010-079-9

• double suspension
• Anick's space

The fiber W, of the double suspension S(2n-1) -> Omega(2)S(2n+1) is known to have a classifying space BW(n). An important conjecture linking the EHP sequence to the homotopy theory of Moore spaces is that BW(n) similar or equal to Omega T(2np+1) (p), where T(2nP+1) (p) is Anick's space. This is known if n = 1. We prove the n = p case and establish some related properties.

• 出版日期2010-12