Tensor Nilpotence and the Size of the Bousfield Lattice

Phil Pützstück

For each prime $p$ and integer $n\ge 1$, we construct a $p$-local spectrum $X_n$ with $X_n^{\otimes n}\not\simeq 0$ but $X_n^{\otimes (n+1)}\simeq 0$. This refutes the retract…