The monoid of suspensions and loops modulo Bousfield equivalence
Jeff Strom · Fundamenta Mathematicae · 2008
The suspension and loop space functors, $\mit\Sigma$ and $\mit\Omega$, operate on the lattice of Bousfield classes of (sufficiently highly connected) topological spaces, and therefore generate a submonoid ${\mathcal L}$ of the complete set of operations