equal
deleted
inserted
replaced
253 Taking singular chains converts a space-type $A_\infty$ $n$-category into a chain complex |
253 Taking singular chains converts a space-type $A_\infty$ $n$-category into a chain complex |
254 type $A_\infty$ $n$-category. |
254 type $A_\infty$ $n$-category. |
255 |
255 |
256 |
256 |
257 |
257 |
258 |
|
259 |
|
260 |
|
261 |
|
262 |
|
263 |
|
264 |
|
265 \medskip |
258 \medskip |
266 |
259 |
267 \hrule |
260 \hrule |
268 |
261 |
269 \medskip |
262 \medskip |
270 |
263 |
271 \nn{to be continued...} |
264 \nn{to be continued...} |
272 |
265 |
|
266 |
|
267 |
|
268 Stuff that remains to be done (either below or in an appendix or in a separate section or in |
|
269 a separate paper): |
|
270 \begin{itemize} |
|
271 \item modules/representations/actions (need to decide what to call them) |
|
272 \item tensor products |
|
273 \item blob complex is an example of an $A_\infty$ $n$-category |
|
274 \item fundamental $n$-groupoid is an example of an $A_\infty$ $n$-category |
|
275 \item traditional $n$-cat defs (e.g. *-1-cat, pivotal 2-cat) imply our def of plain $n$-cat |
|
276 \item conversely, our def implies other defs |
|
277 \item traditional $A_\infty$ 1-cat def implies our def |
|
278 \item ... and vice-versa |
|
279 \item say something about unoriented vs oriented vs spin vs pin for $n=1$ (and $n=2$?) |
|
280 \item spell out what difference (if any) Top vs PL vs Smooth makes |
|
281 \end{itemize} |
|
282 |
|
283 |