text/blobdef.tex
changeset 515 9e44c1469918
parent 513 a9ac20b0a0c2
child 542 3baa4e4d395e
--- a/text/blobdef.tex	Sun Aug 22 21:10:39 2010 -0700
+++ b/text/blobdef.tex	Mon Aug 23 21:19:55 2010 -0700
@@ -174,7 +174,12 @@
 \end{defn}
 Given a gluing decomposition $M_0 \to M_1 \to \cdots \to M_m = X$, we say that a field is splittable along it if it is the image of a field on $M_0$.
 
-In the example above, note that $$A \sqcup B \sqcup C \sqcup D \to (A \cup B) \sqcup (C \cup D) \to A \cup B \cup C \cup D$$ is a  ball decomposition, but other sequences of gluings starting from $A \sqcup B \sqcup C \sqcup D$have intermediate steps which are not manifolds.
+In the example above, note that
+\[
+	A \sqcup B \sqcup C \sqcup D \to (A \cup B) \sqcup (C \cup D) \to A \cup B \cup C \cup D
+\]
+is a  ball decomposition, but other sequences of gluings starting from $A \sqcup B \sqcup C \sqcup D$
+have intermediate steps which are not manifolds.
 
 We'll now slightly restrict the possible configurations of blobs.
 %%%%% oops -- I missed the similar discussion after the definition