Displaying similar documents to “Double bubbles in the three-torus.”

The double bubble conjecture.

Hass, Joel, Hutchings, Michael, Schlafly, Roger (1995)

Electronic Research Announcements of the American Mathematical Society [electronic only]


Surfaces in 3-space that do not lift to embeddings in 4-space

J. Carter, Masahico Saito (1998)

Banach Center Publications


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...