In
geometric topology, a branch of mathematics, a crumpled cube is any space in
R3 homeomorphic
In the mathematical field of topology, a homeomorphism, topological isomorphism, or bicontinuous function is a bijective and continuous function between topological spaces that has a continuous inverse function. Homeomorphisms are the isomorphi ...
to a
2-sphere together with its
interior.
[ ] Lininger showed in 1965 that the
union
Union commonly refers to:
* Trade union, an organization of workers
* Union (set theory), in mathematics, a fundamental operation on sets
Union may also refer to:
Arts and entertainment
Music
* Union (band), an American rock group
** ''Un ...
of a crumpled cube and an
open 3-ball glued along their
boundaries is a 3-sphere.
[ ]
*{{topology-stub
References
Geometric topology