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The topological uniqueness
of complete one-ended minimal surfaces
and Heegaard surfaces in $ \mathbb {R}^3$

Authors: Charles Frohman and William H. Meeks III
Journal: J. Amer. Math. Soc. 10 (1997), 495-512
MSC (1991): Primary 57N12, 53A10
MathSciNet review: 1443545
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Charles Frohman
Affiliation: Mathematics Department, University of Iowa, Iowa City, Iowa 52242

William H. Meeks III
Affiliation: Department of Mathematics, University of Massachusetts, Amherst, Massachusetts 01003

Received by editor(s): February 1, 1991
Received by editor(s) in revised form: June 1, 1995
Additional Notes: This research was supported by the National Science Foundation grant DMS-8701736
The research described in this paper was supported by research grant DE-FG02-86ER250125 of the Applied Mathematical Science subprogram of the Office of Energy Research, U.S. Department of Energy, and National Science Foundation grants DMS-8900285 and DMS-9505101
Article copyright: © Copyright 1997 American Mathematical Society