Timeline for What other monoidal structures exist on the category of sets?
Current License: CC BY-SA 4.0
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| Sep 3 at 16:04 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
http -> https (the question was bumped anyway)
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| Jan 29, 2014 at 18:12 | comment | added | David E Speyer | Right, and Lenart does that in some of his papers. But there are lots of examples in the category of sets that can't be obtained from this construction. For example, with this construction, the coefficient of $xy$ in the group law $x \oplus y$ is always even. | |
| Jan 29, 2014 at 18:09 | comment | added | Qiaochu Yuan | Nice! You can get rational coefficients by working in groupoids instead of sets and allowing yourself to take homotopy quotients (decategorification involves taking groupoid cardinality). But I guess this is outside the scope of the original question. | |
| Jan 29, 2014 at 2:31 | history | answered | David E Speyer | CC BY-SA 3.0 |