The fibre of the degree $3$ map, Anick spaces and the double suspension

Steven Amelotte

Let $S^{2n+1}\{p\}$ denote the homotopy fibre of the degree $p$ self map of $S^{2n+1}$. For primes $p\ge 5$, work of Selick shows that $S^{2n+1}\{p\}$ admits a nontrivial loop spa…