--- a/text/basic_properties.tex Thu Sep 23 18:10:35 2010 -0700
+++ b/text/basic_properties.tex Fri Sep 24 15:32:55 2010 -0700
@@ -3,12 +3,12 @@
\subsection{Basic properties}
\label{sec:basic-properties}
-In this section we complete the proofs of Properties 2-4. \nn{fix these numbers}
-Throughout the paper, where possible, we prove results using Properties 1-4,
+In this section we complete the proofs of Properties \ref{property:disjoint-union}--\ref{property:contractibility}.
+Throughout the paper, where possible, we prove results using Properties \ref{property:functoriality}--\ref{property:contractibility},
rather than the actual definition of blob homology.
This allows the possibility of future improvements on or alternatives to our definition.
In fact, we hope that there may be a characterization of the blob complex in
-terms of Properties 1-4, but at this point we are unaware of one.
+terms of Properties \ref{property:functoriality}--\ref{property:contractibility}, but at this point we are unaware of one.
Recall Property \ref{property:disjoint-union},
that there is a natural isomorphism $\bc_*(X \du Y) \cong \bc_*(X) \otimes \bc_*(Y)$.