Communications in Analysis and Geometry

Volume 19 (2011)

Number 3

An immersed soap film of genus one

Pages: 601 – 631

DOI: http://dx.doi.org/10.4310/CAG.2011.v19.n3.a6

Author

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

Abstract

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.

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