Envelopes of holomorphy of compacta with analytic structure
type: Item
instance of: scholarly article
title: Envelopes of holomorphy of compacta with analytic structure
zbMATH Open document ID: 0601.32014
DOI: 10.1007/BF01058482
author: S. P. Guzov
published in: Ukrainian Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: Let X be a Stein manifold and let \(X_{\alpha}\) be a domain such that \(p_{\alpha}: X_{\alpha}\to X\) is ramified over X. Let S be the category of projective limits of ramified domains \(X_{\alpha}\). It is shown that there is a well-defined operation of taking envelopes of holomorphy within this category.
Mathematics Subject Classification ID: 32D15
Mathematics Subject Classification ID: 32D10
Mathematics Subject Classification ID: 32E10
Mathematics Subject Classification ID: 32A38
zbMATH DE Number: 3969052
zbMATH Keywords: envelope of holomorphy
zbMATH Keywords: ramified domain
zbMATH Keywords: Stein manifold
MaRDI profile type: Publication
cites work: Q5563558
cites work: Compact Holomorphically Convex Subsets of a Stein Manifold
cites work: On envelops of holomorphy
cites work: Q5613420
description: scientific article; zbMATH DE number 3969052