Special neighbourhoods of subsets in complex spaces
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.
scientific article; zbMATH DE number 861933
scientific article