text/basic_properties.tex
changeset 939 e3c5c55d901d
parent 885 61541264d4b3
child 961 c57afb230bb1
--- a/text/basic_properties.tex	Thu Dec 08 12:06:43 2011 -0800
+++ b/text/basic_properties.tex	Thu Dec 08 15:57:34 2011 -0800
@@ -5,7 +5,7 @@
 
 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.
+rather than the actual definition of the blob complex.
 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 \ref{property:functoriality}--\ref{property:contractibility}, but at this point we are unaware of one.
@@ -112,9 +112,9 @@
 }
 The sum is over all fields $a$ on $Y$ compatible at their
 ($n{-}2$-dimensional) boundaries with $c$.
-``Natural" means natural with respect to the actions of diffeomorphisms.
+``Natural" means natural with respect to the actions of homeomorphisms.
 In degree zero the map agrees with the gluing map coming from the underlying system of fields.
 \end{prop}
 
 This map is very far from being an isomorphism, even on homology.
-We fix this deficit in \S\ref{sec:gluing} below.
+We eliminate this deficit in \S\ref{sec:gluing} below.