Stein spaces

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:characterizedBy holomorphic separability
holomorphic convexity
existence of sufficient holomorphic functions
gptkbp:example affine complex algebraic varieties
open subsets of complex Euclidean space
gptkbp:field complex analysis
complex geometry
gptkbp:generalizes domains of holomorphy
https://www.w3.org/2000/01/rdf-schema#label Stein spaces
gptkbp:isA complex analytic space
gptkbp:namedAfter gptkb:Karl_Stein
gptkbp:property every coherent analytic sheaf is generated by global sections
cohomology vanishes in positive degree for coherent analytic sheaves
gptkbp:usedIn gptkb:Oka–Cartan_theory
several complex variables
gptkbp:bfsParent gptkb:Cartan's_theorems_A_and_B
gptkbp:bfsLayer 7