Timeline for Monoidal colimit-preserving functor from spaces to $A$-modules
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 7, 2022 at 16:11 | comment | added | Tyler Lawson | @SofíaMarlascaAparicio Yes, sorry. | |
| Apr 4, 2022 at 8:40 | comment | added | Sofía Marlasca Aparicio | Do you perhaps mean the forgetful functor $Mod_A \to Spectra$? | |
| Mar 31, 2022 at 13:54 | vote | accept | Sofía Marlasca Aparicio | ||
| Mar 31, 2022 at 13:33 | comment | added | Tyler Lawson | As a remark: the forgetful fuctor $Spectra \to Mod_A$ is also conservative, and has a right adjoint (the function spectrum $X \mapsto F(A,X)$). This means that not only does the forgetful functor preserve colimits, but also that colimits in $Mod_A$ can be detected by checking if they are colimits in $Spectra$. | |
| Mar 31, 2022 at 12:13 | history | answered | Tyler Lawson | CC BY-SA 4.0 |