Double suspension theorem
id:
double-suspension-theorem-239-5215465
title:
Double suspension theorem
text:
In geometric topology, the double suspension theorem of James W. Cannon and Robert D. Edwards states that the double suspension S2X of a homology sphere X is a topological sphere. If X is a piecewise-linear homology sphere but not a sphere, then its double suspension S2X is an example of a triangulation of a topological sphere that is not piecewise-linear. The reason is that, unlike in piecewise-linear manifolds, the link of one of the suspension points is not a sphere.
brand slug:
wiki
category slug:
encyclopedia
description:
The double suspension of a homology sphere is a topological sphere
original url:
https://en.wikipedia.org/wiki/Double_suspension_theorem
date created:
date modified:
2021-04-08T15:18:10Z
main entity:
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image:
fields total:
13
integrity:
14