Speaker
Judson Kuhrman (Stanford)
Date
Thu, Dec 5 2024, 1:30pm
Location
383N

The double-suspension theorem of J.W. Cannon and R.D. Edwards states that the twofold suspension of any homology sphere is homeomorphic to the sphere two dimensions higher. The double suspension theorem implies the existence of many triangulations of spheres of dimension at least 5 which do not come from any piecewise-linear structure, and various special cases are important ingredients for foundational results in the study of high-dimensional topological and PL manifolds.
We will discuss Edwards's proof that the double suspension of Mazur's homology 3-sphere is S^5, the first special case for which the theorem was proven.