--- a/text/blobdef.tex	Tue Feb 08 07:19:38 2011 -0800
+++ b/text/blobdef.tex	Tue Feb 08 07:27:53 2011 -0800
@@ -186,6 +186,8 @@
 We say that a field 
 $a\in \cF(X)$ is splittable along the decomposition if $a$ is the image 
 under gluing and disjoint union of fields $a_i \in \cF(M_0^i)$, $0\le i\le k$.
+Note that if $a$ is splittable in the sense then it makes sense to talk about the restriction of $a$ of any
+component $M'_j$ of any $M_j$ of the decomposition.
 
 In the example above, note that
 \[