Crumpled cube

In geometric topology, a branch of mathematics, a crumpled cube is any space in R³ homeomorphic to a 2-sphere together with its interior.^[1] Lininger (1965) showed that the union of a crumpled cube and an open 3-ball glued along their boundaries is a 3-sphere.

References

1. ↑ Joseph Martin. "The sum of two crumpled cubes." Michigan Mathematical Journal 13 2 (1966), pp. 147–151.

• Lininger, Lloyd L. (1965), "Some results on crumpled cubes", Transactions of the American Mathematical Society 118: 534–549, ISSN 0002-9947, JSTOR 1993977, MR 0178460