JP Journal of Geometry and Topology
Volume 21, Issue 1, Pages 49 - 63
(February 2018) http://dx.doi.org/10.17654/GT021010049 |
|
HOMOLOGY OF A CERTAIN HYPERSURFACE OF A TORUS
Yasuhiko Kamiyama
|
Abstract: In [1, 2], Gottlieb studied a certain robot arm in and proved that its configuration space is a torus If we impose further condition on the motion of the arm, then its configuration space is a hypersurface of the torus. Many topological properties of have been proved in [4] but the homology groups are left unknown. In this paper, we determine them. |
Keywords and phrases: robot arm, hypersurface, torus. |
|
Number of Downloads: 327 | Number of Views: 4239 |
|