# HG changeset patch # User Scott Morrison # Date 1309301044 25200 # Node ID 979c947d0b820e59bdcd91dcc4ef5bb25e40378f # Parent 8bda6766bbac9523dce8dc4ab019cd22a06fc00a minor diff -r 8bda6766bbac -r 979c947d0b82 text/appendixes/famodiff.tex --- a/text/appendixes/famodiff.tex Tue Jun 28 15:43:53 2011 -0700 +++ b/text/appendixes/famodiff.tex Tue Jun 28 15:44:04 2011 -0700 @@ -29,9 +29,9 @@ \[ F: I \times P\times X \to T \] -such that +such that the following conditions hold. \begin{enumerate} -\item $F(0, \cdot, \cdot) = f$ . +\item $F(0, \cdot, \cdot) = f$. \item We can decompose $P = \cup_i D_i$ so that the restrictions $F(1, \cdot, \cdot) : D_i\times X\to T$ are all adapted to $\cU$. \item If $f$ has support $S\sub X$, then diff -r 8bda6766bbac -r 979c947d0b82 text/ncat.tex --- a/text/ncat.tex Tue Jun 28 15:43:53 2011 -0700 +++ b/text/ncat.tex Tue Jun 28 15:44:04 2011 -0700 @@ -1521,12 +1521,6 @@ $\cl{\cC}(W)$ is functorial with respect to homeomorphisms of $k$-manifolds. Restricting the $k$-spheres, we have now proved Lemma \ref{lem:spheres}. -It is easy to see that -there are well-defined maps $\cl{\cC}(W)\to\cl{\cC}(\bd W)$, and that these maps -comprise a natural transformation of functors. - - - \begin{lem} \label{lem:colim-injective} Let $W$ be a manifold of dimension less than $n$. Then for each