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What (who) is Étale topology - definition
Étale topology
GROTHENDIECK TOPOLOGY ON THE CATEGORY OF SCHEMES, WHOSE COVERING FAMILIES ARE JOINTLY SURJECTIVE FAMILIES OF ÉTALE MORPHISMS
Etale topology; Étale sheaf
In algebraic geometry, the étale topology is a Grothendieck topology on the category of schemes which has properties similar to the Euclidean topology, but unlike the Euclidean topology, it is also defined in positive characteristic. The étale topology was originally introduced by Grothendieck to define étale cohomology, and this is still the étale topology's most well-known use.
Étale
WIKIMEDIA DISAMBIGUATION PAGE
Etale; Étale (disambiguation)
In mathematics, more specifically in algebra, the adjective étale refers to several closely related concepts:
Étale morphism
SMOOTH SCHEME MORPHISM OF RELATIVE DIMENSION 0
Etale morphism; Étale map; Étale covering; Etale morphisms; Etale covering; Etale map
In algebraic geometry, an étale morphism () is a morphism of schemes that is formally étale and locally of finite presentation. This is an algebraic analogue of the notion of a local isomorphism in the complex analytic topology.
