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What information is lost in $X \mapsto \text\to \mathrm{Sh}(X)$?

Given a topological space or site $X$. Construct $\mathrm{Sh}(X)$ - the sheafssheaves on $X$ with values in Set$\mathrm{Set}$. Is it known what information is lost in this procedure?

Thanks, Adrian.

What information is lost in $X \mapsto \text{Sh}(X)$

Given a topological space or site $X$. Construct $\mathrm{Sh}(X)$ - the sheafs on $X$ with values in Set. Is it known what information is lost in this procedure?

Thanks, Adrian

What information is lost in $X \to \mathrm{Sh}(X)$?

Given a topological space or site $X$. Construct $\mathrm{Sh}(X)$ - the sheaves on $X$ with values in $\mathrm{Set}$. Is it known what information is lost in this procedure?

Thanks, Adrian.

typo edited
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Mark Wildon
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givenGiven a topological space or site X$X$. Construct Sh(X)$\mathrm{Sh}(X)$ - the sheafs on X$X$ with values in Set. Is it known what information is lost in this procedure?

Thanks, Adrian

given a topological space or site X. Construct Sh(X) - the sheafs on X with values in Set. Is it known what information is lost in this procedure?

Thanks, Adrian

Given a topological space or site $X$. Construct $\mathrm{Sh}(X)$ - the sheafs on $X$ with values in Set. Is it known what information is lost in this procedure?

Thanks, Adrian

What information is lost in X$X \mapsto Sh\text{Sh}(X)$

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Adrian
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