(Q931187)

English

Stein manifold

holomorphically convex and holomorphically separable complex manifold

holomorphically complete manifold

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subclass of

holomorphically separable manifold

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named after

Karl Stein

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defining formula

{\begin{aligned}\forall K\in \operatorname {Kompakt} (X)\colon &\{z\in X\colon |f(z)|\leq \sup _{w\in K}|f(w)|\ \forall f\in {\mathcal {O}}(X)\}\in \operatorname {Kompakt} (X)\\\forall x,y\in X\colon &x\neq y\implies \exists f\in {\mathcal {O}}(X)\colon f(x)\neq f(y)\end{aligned}}

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in defining formula

X

symbol represents

Stein manifold

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{\mathcal {O}}

symbol represents

structure sheaf

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K

symbol represents

compact space

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\{z\in X\colon |f(z)|\leq \sup _{w\in K}|f(w)|\ \forall f\in {\mathcal {O}}(X)\}

symbol represents

holomorphically convex hull

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maintained by WikiProject

WikiProject Mathematics

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Stack Exchange tag

https://mathoverflow.net/tags/stein-manifolds

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Identifiers

Encyclopedia of Mathematics article ID

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1 reference

28 October 2013

Great Russian Encyclopedia portal ID

mnogoobrazie-shteina-f9f48c

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Microsoft Academic ID

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1 reference

26 January 2022

https://docs.openalex.org/download-snapshot/snapshot-data-format

PlanetMath ID

SteinManifold

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(Q931187)

Stein manifold

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