Crumpled cube

In geometric topology, a branch of mathematics, a crumpled cube is a 2-sphere in R³ together with its interior. Lininger (1965) showed that the union of a crumpled cube and a 3-ball glued along their boundaries is a 3-sphere.

References

• Lininger, Lloyd L. (1965), "Some results on crumpled cubes", Transactions of the American Mathematical Society 118: 534–549, ISSN 0002-9947, JSTOR 1993977, MR0178460