text/tqftreview.tex
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   423 $f(U(B; c)) = U(B', f(c))$ for all homeomorphisms $f: B \to B'$
   423 $f(U(B; c)) = U(B', f(c))$ for all homeomorphisms $f: B \to B'$
   424 \item Local relations imply extended isotopy: 
   424 \item Local relations imply extended isotopy: 
   425 if $x, y \in \cC(B; c)$ and $x$ is extended isotopic 
   425 if $x, y \in \cC(B; c)$ and $x$ is extended isotopic 
   426 to $y$, then $x-y \in U(B; c)$.
   426 to $y$, then $x-y \in U(B; c)$.
   427 \item Ideal with respect to gluing:
   427 \item Ideal with respect to gluing:
   428 if $B = B' \cup B''$, $x\in U(B')$, and $c\in \cC(B'')$, then $x\bullet r \in U(B)$
   428 if $B = B' \cup B''$, $x\in U(B')$, and $r\in \cC(B'')$, then $x\bullet r \in U(B)$
   429 \end{enumerate}
   429 \end{enumerate}
   430 \end{defn}
   430 \end{defn}
   431 See \cite{kw:tqft} for further details.
   431 See \cite{kw:tqft} for further details.
   432 
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