Abstract. Cohen, Moore, and Neisendorfer’s work on the odd primary homotopy theory of spheres and Moore spaces, as well as the first author’s work on the secondary suspension, predicted the existence of a p-local fibration S2n-1 - ¿ T - ¿ ¿S2n+1 whose connecting map is degree pr. In a long and complex monograph, Anick constructed such a fibration for p = 5 and r = 1. Using new methods we give a much more conceptual construction which is also valid for p = 3 and r = 1. We go on to establish several properties of the space T. 1.
|Number of pages||34|
|Journal||Geometry & Topology|
|Publication status||Published - 2010|