Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659912 | Topology and its Applications | 2010 | 4 Pages |
Abstract
In this paper we prove that the space is homotopy equivalent to a wedge of spheres of dimension n−3 for all natural numbers n⩾3 and all subgroups G⊂S1×Sn−1. Our argument makes use of Discrete Morse Theory. Furthermore we find a simple formula to compute the number of spheres. For example is homotopy equivalent to a sphere.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology