Timeline for What are the relative advantages of n-fold categories and n-categories?
Current License: CC BY-SA 3.0
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| Jan 28, 2013 at 21:01 | comment | added | Ronnie Brown | One of the matters of taste is to have first definitions which are symmetric and without choices, and this applies to $n$-fold categories. This aesthetic advantage, and others, apply to the use of the homotopy double groupoid of a pair of spaces, rather than the second relative homotopy group as a crossed module. Of course for special reasons, such as I mentioned above, and also for computation, one often needs to move to an asymmetric situation. | |
| Jan 28, 2013 at 16:46 | vote | accept | Rachel | ||
| Jan 28, 2013 at 16:46 | |||||
| Jan 28, 2013 at 12:11 | history | answered | Giorgio Mossa | CC BY-SA 3.0 |