Timeline for Localification of a ringed space
Current License: CC BY-SA 4.0
2 events
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| Jun 1, 2019 at 20:57 | comment | added | John Rached | Sure - let $X \in \text{RS}$. Let $g: X \rightarrow Y$, where $Y \in \mathcal{F}(\text{LRS})$. By the condition OP states, there exists a unique map $f$, and a local ringed space $\mathcal{C}$, such that $g$ factors through $f$. All these maps are in the category of ringed spaces. But this is precisely the property that defines a left adjoint for $\mathcal{F}$. | |
| Jun 1, 2019 at 16:51 | history | answered | John Rached | CC BY-SA 4.0 |