Vol. 66, No. 1, 1976

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Homomorphism spaces of algebras of holomorphic functions

Peter Johanna I. M. De Paepe

Vol. 66 (1976), No. 1, 211–220

In this paper rationally convex sets, holomorphically convex sets and holomorphic sets in Cn are under consideration. Topological properties of these sets are given and attention is paid to examples showing that these three concepts are different. In the second section of the paper an example is given of a fat, connected, holomorphically convex set, which is not a holomorphic set.

Mathematical Subject Classification 2000
Primary: 32E25
Secondary: 46J15
Received: 24 January 1974
Published: 1 September 1976
Peter Johanna I. M. De Paepe