Homomorphism spaces of algebras of holomorphic functions

Peter Johanna I. M. De Paepe

Vol. 66 (1976), No. 1, 211–220

DOI: 10.2140/pjm.1976.66.211

Abstract

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

Milestones

Received: 24 January 1974

Published: 1 September 1976