Timeline for Classifying spaces of monoidal categories and deloopings
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Aug 11, 2021 at 14:49 | history | edited | Emily | CC BY-SA 4.0 |
Added Kerodon reference
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| Aug 7, 2021 at 19:43 | comment | added | Emily | @DavidBen-Zvi Yes, this is precisely what I'm hoping for to hold! | |
| Aug 7, 2021 at 14:59 | comment | added | David Ben-Zvi | I'm not familiar with the specific nerve constructions you mention, but are you asking if the "obvious guess is correct"? namely if $\mathcal C$ is an $\infty$-groupoid, i.e. "space" or "anima", equipped with $E_n$ structures for various $n$, i.e., n-fold loop spaces, then these spaces you're describing ("classifying spaces of deloopings") are literally (ignoring connectivity issues) just deloopings of each other, right? so one should hope the same is true in your setting. Or is your question all about the connectivity/grouplikeness assumptions I'm blithely ignoring? | |
| Aug 6, 2021 at 22:35 | history | asked | Emily | CC BY-SA 4.0 |