Double bubbles minimize.
Hass, Joel, Schlafly, Roger (2000)
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Hass, Joel, Schlafly, Roger (2000)
Annals of Mathematics. Second Series
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Robert Connelly (1977)
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A necessary and sufficient condition for an immersed surface in 3-space to be lifted to an embedding in 4-space is given in terms of colorings of the preimage of the double point set. Giller's example and two new examples of non-liftable generic surfaces in 3-space are presented. One of these examples has branch points. The other is based on a construction similar to the construction of Giller's example in which the orientation double cover of a surface with odd Euler characteristic...
Harold Rosenberg (1991-1992)
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Hoffman, David, Wei, Fusheng (2002)
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