We study the exponents of metastable homotopy of mod Moore spaces. We prove that the double loop space of –dimensional mod Moore spaces has a multiplicative exponent below the range of times the connectivity. As a consequence, the homotopy groups of –dimensional mod Moore spaces have an exponent of below the range of times the connectivity.
"On the metastable homotopy of mod $2$ Moore spaces." Algebr. Geom. Topol. 16 (3) 1773 - 1797, 2016. https://doi.org/10.2140/agt.2016.16.1773