Étale homotopy type
id:
tale-homotopy-type-253-12527583
title:
Étale homotopy type
text:
In mathematics, especially in algebraic geometry, the étale homotopy type is an analogue of the homotopy type of topological spaces for algebraic varieties. Roughly speaking, for a variety or scheme X, the idea is to consider étale coverings U → X and to replace each connected component of U and the higher "intersections", i.e., fiber products, U n := U × X U × X ⋯ × X U (n+1 copies of U, n ≥ 0 ) by a single point. This gives a simplicial set which captures some information related to X and the
brand slug:
wiki
category slug:
encyclopedia
description:
Analogue of homotopy type for algebraic varieties
original url:
https://en.wikipedia.org/wiki/%C3%89tale_homotopy_type
date created:
date modified:
2021-12-21T06:01:47Z
main entity:
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image:
fields total:
13
integrity:
14