Crumpled cube
From Wikipedia, the free encyclopedia
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 showed in 1965 that the union of a crumpled cube and an open 3-ball glued along their boundaries is a 3-sphere.[2]
References
[edit ]- ^ Martin, Joseph (1966). "The sum of two crumpled cubes". Michigan Mathematical Journal . 13 (2): 147–151. doi:10.1307/mmj/1028999538 . Open access icon
- ^ Lininger, Lloyd L. (1965). "Some results on crumpled cubes". Transactions of the American Mathematical Society . 118: 534–549. doi:10.2307/1993977 . ISSN 0002-9947. JSTOR 1993977. MR 0178460. Open access icon
Stub icon
This topology-related article is a stub. You can help Wikipedia by expanding it.