mention n+1-cat of sphere modules in intro
authorKevin Walker <kevin@canyon23.net>
Thu, 06 Jan 2011 23:10:55 -0800
changeset 681 85d7b17c636c
parent 680 0591d017e698
child 682 5f22b4501e5f
mention n+1-cat of sphere modules in intro
text/intro.tex
--- a/text/intro.tex	Thu Jan 06 22:56:31 2011 -0800
+++ b/text/intro.tex	Thu Jan 06 23:10:55 2011 -0800
@@ -74,6 +74,10 @@
 The axioms for an $A_\infty$ $n$-category are designed to capture two main examples: the blob complexes of $n$-balls labelled by a 
 topological $n$-category, and the complex $\CM{-}{T}$ of maps to a fixed target space $T$.
 
+In \S \ref{ssec:spherecat} we explain how $n$-categories can be viewed as objects in an $n{+}1$-category 
+of sphere modules.
+When $n=1$ this just the familiar 2-category of 1-categories, bimodules and intertwinors.
+
 In \S \ref{ss:ncat_fields}  we explain how to construct a system of fields from a topological $n$-category 
 (using a colimit along certain decompositions of a manifold into balls). 
 With this in hand, we write $\bc_*(M; \cC)$ to indicate the blob complex of a manifold $M$