A Simple proof of Curtis' connectivity theorem for Lie powers

Sergei O. Ivanov, Vladislav Romanovskii, Andrei Semenov

We give a simple proof of the Curtis' theorem: if $A_{\bullet }$ is $k$-connected free simplicial abelian group, then $L^n(A_{\bullet })$ is an $k+\lceil {\log }_{2}n\rceil$-connected simp…