Crumpled cube explained

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

  1. Martin . Joseph . 1966 . The sum of two crumpled cubes . . 13 . 2. 147–151 . 10.1307/mmj/1028999538. free .
  2. Lininger . Lloyd L. . Some results on crumpled cubes . 1993977 . 0178460 . 1965 . . 0002-9947 . 118 . 534–549 . 10.2307/1993977. free .

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