ScalingStacks

Definition 3.1. Let $S$ be an object of $𝒯$. We shall call $S$ a simply connected $n$-corigid object of $𝒯$ if it satisfies the following assumptions:

$(1)$ $S$ is $n$-corigid, that is, $\text{Hom}({\mathrm{\Sigma }}^{i}S,S)=0$ for ;

$(2)$ $\text{Hom}(S,\mathrm{\Sigma }S)=0$;

$(3)$ $\text{End}(S)$ is a division ring.