Topological Properties of q-Convex Sets

We discuss the topological properties of a certain class of compact sets in a Q-complete complex manifold M. These sets-- which we call q-convex in M-include, for q = 0, the O(M)-convex compact sets in a Stein manifold. Then we show applications of the topological results to the subjects of removabl...

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Bibliographic Details
Published in:Transactions of the American Mathematical Society 1993, Vol.337 (1), p.427-435
Main Author: Lupacciolu, Guido
Format: Article
Language:English
Subjects:
Approximation
Exact sciences and technology
Mathematical analysis
Mathematical functions
Mathematical manifolds
Mathematical theorems
Mathematics
Polynomials
Sciences and techniques of general use
Several complex variables and analytic spaces
Topological compactness
Topological dimensions
Topological properties
Topological theorems
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Summary:We discuss the topological properties of a certain class of compact sets in a Q-complete complex manifold M. These sets-- which we call q-convex in M-include, for q = 0, the O(M)-convex compact sets in a Stein manifold. Then we show applications of the topological results to the subjects of removable singularities for$\overline{\partial}_b$.
ISSN:0002-9947
1088-6850
DOI:10.1090/S0002-9947-1993-1091708-7