equal
deleted
inserted
replaced
237 \end{axiom} |
237 \end{axiom} |
238 |
238 |
239 For $c\in \cl{\cC}_{k-1}(\bd X)$ we define $\cC_k(X; c) = \bd^{-1}(c)$. |
239 For $c\in \cl{\cC}_{k-1}(\bd X)$ we define $\cC_k(X; c) = \bd^{-1}(c)$. |
240 |
240 |
241 Many of the examples we are interested in are enriched in some auxiliary category $\cS$ |
241 Many of the examples we are interested in are enriched in some auxiliary category $\cS$ |
242 (e.g. vector spaces or rings, or, in the $A_\infty$ case, chain complex or topological spaces). |
242 (e.g. vector spaces or rings, or, in the $A_\infty$ case, chain complexes or topological spaces). |
243 This means that in the top dimension $k=n$ the sets $\cC_n(X; c)$ have the structure |
243 This means that in the top dimension $k=n$ the sets $\cC_n(X; c)$ have the structure |
244 of an object of $\cS$, and all of the structure maps of the category (above and below) are |
244 of an object of $\cS$, and all of the structure maps of the category (above and below) are |
245 compatible with the $\cS$ structure on $\cC_n(X; c)$. |
245 compatible with the $\cS$ structure on $\cC_n(X; c)$. |
246 |
246 |
247 |
247 |