Contents

topos theory

# Contents

## Idea

For a ringed topos $(\mathcal{X}, \mathcal{O})$ the ring object $\mathcal{O} \in \mathcal{X}$ is called the structure sheaf.

More generally, for $\mathcal{G}$ a geometry (for structured (∞,1)-toposes), a structured (∞,1)-topos

$\mathcal{O} : \mathcal{G} \to \mathcal{X}$

is an (∞,1)-topos equipped with a $\mathcal{G}$-valued structure sheaf presented by the finite-limits-preserving and cover-preserving (∞,1)-functor $\mathcal{O}$.

## References

Last revised on February 19, 2018 at 23:15:10. See the history of this page for a list of all contributions to it.