Communications in Analysis and Geometry

Volume 19 (2011)

Number 3

An immersed soap film of genus one

Pages: 601 – 631



Robert Huff (Department of Mathematics, Harding University, Searcy, Arkansas)


In this paper we prove the existence of a set homotopic to a punctured torus and a map from this set into three-space such that each point in the image has an intrinsic soap film neighborhood.

Published 3 October 2011