Topological criteria for schlichtness

Abstract

We give two sufficient criteria for schlichtness of envelopes of holomorphy in terms of topology. These are weakened converses of results of Kerner and Royden. Our first criterion generalizes a result of Hammond in dimension 2. Along the way we also prove a generalization of Royden's theorem.

v2: 3 pages; added new results, including generalization of a theorem of Royden