equal
deleted
inserted
replaced
89 \end{itemize} |
89 \end{itemize} |
90 We can think of the above data as encoding the union of the mapping cylinders $C(f_0),\ldots,C(f_k)$, |
90 We can think of the above data as encoding the union of the mapping cylinders $C(f_0),\ldots,C(f_k)$, |
91 with $C(f_i)$ glued to $C(f_{i+1})$ along $R_{i+1}$ |
91 with $C(f_i)$ glued to $C(f_{i+1})$ along $R_{i+1}$ |
92 (see Figure \ref{xdfig2}). |
92 (see Figure \ref{xdfig2}). |
93 \begin{figure}[t] |
93 \begin{figure}[t] |
94 $$\mathfig{.9}{tempkw/dfig2}$$ |
94 $$\mathfig{.9}{deligne/mapping-cylinders}$$ |
95 \caption{$n$-dimensional fat graph from mapping cylinders}\label{xdfig2} |
95 \caption{An $n$-dimensional fat graph constructed from mapping cylinders}\label{xdfig2} |
96 \end{figure} |
96 \end{figure} |
97 The $n$-manifolds are the ``$n$-dimensional graph" and the $I$ direction of the mapping cylinders is the ``fat" part. |
97 The $n$-manifolds are the ``$n$-dimensional graph" and the $I$ direction of the mapping cylinders is the ``fat" part. |
98 We regard two such fat graphs as the same if there is a homeomorphism between them which is the |
98 We regard two such fat graphs as the same if there is a homeomorphism between them which is the |
99 identity on the boundary and which preserves the 1-dimensional fibers coming from the mapping |
99 identity on the boundary and which preserves the 1-dimensional fibers coming from the mapping |
100 cylinders. |
100 cylinders. |