equal
deleted
inserted
replaced
325 \begin{eqnarray*} |
325 \begin{eqnarray*} |
326 \psi_{Y,J}: \cC(X) &\to& \cC(X) \\ |
326 \psi_{Y,J}: \cC(X) &\to& \cC(X) \\ |
327 a & \mapsto & s_{Y,J}(a \cup ((a|_Y)\times J)) . |
327 a & \mapsto & s_{Y,J}(a \cup ((a|_Y)\times J)) . |
328 \end{eqnarray*} |
328 \end{eqnarray*} |
329 (See Figure \ref{glue-collar}.) |
329 (See Figure \ref{glue-collar}.) |
330 \begin{figure}[!ht]\begin{equation*} |
330 \begin{figure}[!ht] |
|
331 \begin{equation*} |
331 \mathfig{.9}{tempkw/blah10} |
332 \mathfig{.9}{tempkw/blah10} |
332 \end{equation*}\caption{Extended homeomorphism.}\label{glue-collar}\end{figure} |
333 \end{equation*} |
|
334 |
|
335 \caption{Extended homeomorphism.}\label{glue-collar}\end{figure} |
333 We say that $\psi_{Y,J}$ is {\it extended isotopic} to the identity map. |
336 We say that $\psi_{Y,J}$ is {\it extended isotopic} to the identity map. |
334 \nn{bad terminology; fix it later} |
337 \nn{bad terminology; fix it later} |
335 \nn{also need to make clear that plain old isotopic to the identity implies |
338 \nn{also need to make clear that plain old isotopic to the identity implies |
336 extended isotopic} |
339 extended isotopic} |
337 \nn{maybe remark that in some examples (e.g.\ ones based on sub cell complexes) |
340 \nn{maybe remark that in some examples (e.g.\ ones based on sub cell complexes) |