Special neighbourhoods of subsets in complex spaces
type: Item
instance of: scholarly article
title: Special neighbourhoods of subsets in complex spaces
zbMATH Open document ID: 0868.32015
DOI: 10.1007/BF02622098
published in: Mathematische Zeitschrift
publication date: 1996-03-31T00:00:00Z
full work available at URL: https://eudml.org/doc/174833
review text: Let \(X\) be a complex space and \(A\subset X\) be a subset. An open neighborhood \(V\) of \(A\) is said to be special if \(V\) is Stein and \(A\) is a strong deformation retract of \(V\). The author proves the existence of special neighborhood for a pair of a complex space and an analytic subset of it and a pair of a complex space and a regularly totally real analytic subset of it. He also gives a proof of a statement in the book of \textit{H. Grauert} and \textit{R. Remmert}, `Theory of Stein spaces,' Springer Verlag (1979; Zbl 0433.32007). His results are useful in constructing Stein spaces with given topology.
Mathematics Subject Classification ID: 32E05
Mathematics Subject Classification ID: 32E10
zbMATH DE Number: 861933
zbMATH Keywords: special neighborhood
zbMATH Keywords: strong deformation retract
author: Nicolae Mihalache
reviewed by: J. Kajiwara
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 861933