Crumpled cube

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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.


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