nLab little etale topos

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Topos Theory

topos theory

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Toposes

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Topos morphisms

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In higher category theory

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Definition

For XX a scheme or more generally an algebraic stack, let X etX_{et} be its small étale site: the full subcategory of the slice category Sch/XSch/X on the étale morphisms equipped with the induced étale topology.

Then the category of sheaves Sh(X et)Sh(X_{et}) is called the étale topos of XX. (See there for more) This is the little topos-incarnation of XX.

Last revised on November 24, 2013 at 11:28:04. See the history of this page for a list of all contributions to it.