Timeline for A non-monoidal functor that respects fusion rules
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 16, 2018 at 8:01 | vote | accept | Abo Kutis-Felan | ||
| Jan 16, 2018 at 7:58 | comment | added | Abo Kutis-Felan | Yes, I guess additivity should be assumed, and then the condition is as you put it. | |
| Jan 15, 2018 at 23:07 | answer | added | Noah Snyder | timeline score: 1 | |
| Jan 15, 2018 at 20:35 | comment | added | Tobias Fritz | Ah, okay! So then you probably want $f$ to be additive as well? If so, then your property is equivalent to requiring $f(A\otimes B)\cong f(A)\otimes f(B)$ for all objects $A$ and $B$, but without postulating any coherences, right? | |
| Jan 15, 2018 at 19:32 | comment | added | Abo Kutis-Felan | At Tobias: Sorry, there was a typo in question. It's now fixed, and the property in non longer implied by additivity. | |
| Jan 15, 2018 at 19:31 | history | edited | Abo Kutis-Felan | CC BY-SA 3.0 |
added 3 characters in body
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| Jan 15, 2018 at 18:20 | comment | added | Tobias Fritz | Trivially every additive $f$ has that property. Do you know of any non-additive functor for which this holds? | |
| Jan 15, 2018 at 17:15 | history | asked | Abo Kutis-Felan | CC BY-SA 3.0 |