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