Timeline for Spaces in the spectrum THH(R)
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jun 27 at 22:48 | comment | added | Achim Krause | The question of whether something is or isn't an $\Omega$-spectrum is not well defined under equivalences. The descriptions of THH you give make sense model-independently in the $\infty$-category of spectra, but you seem to have in mind a specific way of lifting it to some version of prespectra? The answer to your question probably depends on those details. | |
| Jun 27 at 18:45 | comment | added | categorically_stupid | @Z.M Thanks for your response! just to clarify, you don't think that there is a way to get a handle on the spaces on $THH(R)$ at all, regardless of the $E_n$-structure on $R$? | |
| Jun 27 at 18:34 | comment | added | Z. M | This seems quite impossible, since you really need the $E_1$-structure on $R$ (not just the spectrum structure) to determine the spectrum $\operatorname{THH}(R)$. | |
| Jun 27 at 18:17 | history | asked | categorically_stupid | CC BY-SA 4.0 |