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206 a $j$-ball $X$ is either $\cE(X\times Y\times F)$ (if $j<m$) or $\bc_*(X\times Y\times F)$ |
206 a $j$-ball $X$ is either $\cE(X\times Y\times F)$ (if $j<m$) or $\bc_*(X\times Y\times F)$ |
207 (if $j=m$). |
207 (if $j=m$). |
208 (See Example \ref{ex:blob-complexes-of-balls}.) |
208 (See Example \ref{ex:blob-complexes-of-balls}.) |
209 Similarly we have an $m$-category whose value at $X$ is $\cl{\cC_F}(X\times Y)$. |
209 Similarly we have an $m$-category whose value at $X$ is $\cl{\cC_F}(X\times Y)$. |
210 These two categories are equivalent, but since we do not define functors between |
210 These two categories are equivalent, but since we do not define functors between |
211 topological $n$-categories in this paper we are unable to say precisely |
211 disk-like $n$-categories in this paper we are unable to say precisely |
212 what ``equivalent" means in this context. |
212 what ``equivalent" means in this context. |
213 We hope to include this stronger result in a future paper. |
213 We hope to include this stronger result in a future paper. |
214 |
214 |
215 \medskip |
215 \medskip |
216 |
216 |