--- a/pnas/pnas.tex	Wed Nov 17 15:48:20 2010 -0800
+++ b/pnas/pnas.tex	Wed Nov 17 16:30:24 2010 -0800
@@ -284,9 +284,9 @@
 to the standard $k$-ball $B^k$.
 \nn{maybe add that in addition we want functoriality}
 
-By default our balls are oriented,
+By default our balls are unoriented,
 but it is useful at times to vary this,
-for example by considering unoriented or Spin balls.
+for example by considering oriented or Spin balls.
 We can also consider more exotic structures, such as balls with a map to some target space,
 or equipped with $m$ independent vector fields.
 (The latter structure would model $n$-categories with less duality than we usually assume.)