The Alexander Horned Sphere: A Wild Counterexample in Topology
Presented by MathInfinium
May 3, 2026
https://youtube.com/watch?v=FGAA9Jq0RXA
> In this video, we explore one of the most fascinating objects in topology, the Alexander horned sphere. Although this object is homeomorphic to a standard sphere, its embedding in three-dimensional space is highly non-trivial.
This example highlights a deep idea in topology: the properties of a space depend not only on the object itself, but also on how it is embedded.
Presented by MathInfinium
May 3, 2026
https://youtube.com/watch?v=FGAA9Jq0RXA
> In this video, we explore one of the most fascinating objects in topology, the Alexander horned sphere. Although this object is homeomorphic to a standard sphere, its embedding in three-dimensional space is highly non-trivial.
This example highlights a deep idea in topology: the properties of a space depend not only on the object itself, but also on how it is embedded.