Alexander horned sphere
The Alexander horned sphere is a pathological embedding of the 2-sphere into 3-dimensional Euclidean space. The topological object was discovered by J. W. Alexander (1924).
Alexander horned sphere - Wikipedia Jump to content From Wikipedia, the free encyclopedia Pathological embedding of the sphere in 3D space Alexander horned sphere The Alexander horned sphere is a pathological embedding of the 2-sphere into 3-dimensional Euclidean space. The topological object was discovered by J. W. Alexander  ( 1924 ). It is a particular topological embedding of a two-dimensional sphere in three-dimensional space. Together with its inside, it is a topological 3-ball , the Alexander horned ball , and so is simply connected ; i.e., every loop can be shrunk to a point w
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