text/basic_properties.tex
changeset 314 6e23226d1cca
parent 222 217b6a870532
child 332 160ca7078ae9
--- a/text/basic_properties.tex	Mon May 31 23:42:37 2010 -0700
+++ b/text/basic_properties.tex	Tue Jun 01 11:34:03 2010 -0700
@@ -3,7 +3,7 @@
 \section{Basic properties of the blob complex}
 \label{sec:basic-properties}
 
-In this section we complete the proofs of Properties 1-4. Throughout the paper, where possible, we prove results using Properties 1-4, rather than the actual definition of blob homology. This allows the possibility of future improvements to or alternatives on our definition. In fact, we hope that there may be a characterisation of blob homology in terms of Properties 1-4, but at this point we are unaware of one.
+In this section we complete the proofs of Properties 1-5. Throughout the paper, where possible, we prove results using Properties 1-5, rather than the actual definition of blob homology. This allows the possibility of future improvements to or alternatives on our definition. In fact, we hope that there may be a characterisation of blob homology in terms of Properties 1-5, but at this point we are unaware of one.
 
 Recall Property \ref{property:disjoint-union}, that there is a natural isomorphism $\bc_*(X \du Y) \cong \bc_*(X) \otimes \bc_*(Y)$.
 
@@ -106,3 +106,5 @@
 
 This map is very far from being an isomorphism, even on homology.
 We fix this deficit in Section \ref{sec:gluing} below.
+
+As we pointed out earlier, Property \ref{property:skein-modules} is immediate from the definitions.