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1. • CommentRowNumber1.
   • CommentAuthorDmitri Pavlov
   • CommentTimeFeb 4th 2023
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexCreated: ## Definition The __Stein site__ is a [[site]] that has [[Stein manifolds]] as objects, [[holomorphic maps]] as morphisms, and good Stein covers as [[covering families]]. Here a good Stein cover is an [[open cover]] whose finite intersections are themselves [[Stein manifolds]]. The Stein site is [[hypercomplete]] and has enough points (in the stronger sense of [[(∞,1)-toposes]]). ## Related concepts * [[simplicial Stein site]] * [[Stein manifold]] <a href="https://ncatlab.org/nlab/revision/Stein+site/1">v1</a>, <a href="https://ncatlab.org/nlab/show/Stein+site">current</a>

   Created:

   Definition

   The Stein site is a site that has Stein manifolds as objects, holomorphic maps as morphisms, and good Stein covers as covering families.

   Here a good Stein cover is an open cover whose finite intersections are themselves Stein manifolds.

   The Stein site is hypercomplete and has enough points (in the stronger sense of (∞,1)-toposes).

   Related concepts

   • simplicial Stein site

   • Stein manifold

   v1, current