Fans and embeddings in the plane

Lex Gerard Oversteegen

Vol. 83 (1979), No. 2, 495–503

DOI: 10.2140/pjm.1979.83.495

Abstract

We prove that every fan which is locally connected at its vertex can be embedded in the plane. This gives a solution to a problem raised by J. J. Charatonik and Z. Rudy.

Mathematical Subject Classification 2000

Primary: 54F50

Secondary: 54C25

Milestones

Received: 12 June 1978

Revised: 8 January 1979

Published: 1 August 1979