In
geometric topology
In mathematics, geometric topology is the study of manifolds and maps between them, particularly embeddings of one manifold into another.
History
Geometric topology as an area distinct from algebraic topology may be said to have originate ...
, 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 isomor ...
to a
2-sphere together with its
interior.
[ ] Lininger showed in 1965 that the
union of a crumpled cube and an
open 3-ball glued along their
boundaries
Boundary or Boundaries may refer to:
* Border, in political geography
Entertainment
* ''Boundaries'' (2016 film), a 2016 Canadian film
* ''Boundaries'' (2018 film), a 2018 American-Canadian road trip film
*Boundary (cricket), the edge of the pla ...
is a 3-sphere.
[ ]
*{{topology-stub
References
Geometric topology