diff --git a/actions.tex b/actions.tex
index 71f1bb7..b0cb654 100644
--- a/actions.tex
+++ b/actions.tex
@@ -176,7 +176,7 @@ \section{Group actions ($G$-sets)}
   \[
     \Hom(H,G)(x,y)\jdeq
 %\Copy_{\mkgroup}((\BH_\div,x) \ptdto (\BG_\div,y)). 
-    \Copy_{\mkgroup}(\sum_{f:\BH_\div\to \BG_\div}(y\eqto f(x))).
+    \Copy_{\mkgroup}\bigl(\sum_{f:\BH_\div\to \BG_\div}(y\eqto f(x))\bigr).
   \]
   Thus the type $\Hom(H,G)$ may also be considered to be a $(H\times G)$-set
   \[
@@ -408,7 +408,9 @@ \subsection{Actions in a type}
 Oftentimes it is interesting not to have an action on a set, but on an element in any given type (not necessarily the type of sets).  For instance, a group can act on another, giving rise to the notion of the semidirect product in \cref{sec:Semidirect-products}.  We will return these more general types of actions many times.
 
 \begin{definition}\label{action}
-  If $G$ is any (possibly higher) group and $A$ is any type of objects,
+  If $G$ is any group\footnote{%
+  Even an $\infty$-group in the sense of \cref{sec:inftygps}.} 
+  and $A$ is any type of objects,
   then we define an \emph{action} by $G$ in %the world of elements of
   $A$ as a function
   \[