Article ID Journal Published Year Pages File Type
4659912 Topology and its Applications 2010 4 Pages PDF
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