little etale topos


Topos Theory

Could not include topos theory - contents



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.

Revised on November 24, 2013 11:28:04 by Urs Schreiber (