| Full text | |
| Author(s): |
Ipanaque Zapata, Cesar A.
Total Authors: 1
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| Document type: | Journal article |
| Source: | BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY; v. 100, n. 3, p. 507-517, DEC 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
The Lusternik-Schnirelmann category cat and topological complexity TC are related homotopy invariants. The topological complexity TC has applications to the robot motion planning problem. We calculate the Lusternik-Schnirelmann category and topological complexity of the ordered configuration space of two distinct points in the product G x R-n and apply the results to the planar and spatial motion of two rigid bodies in R-2 and R-3 respectively. (AU) | |
| FAPESP's process: | 16/18714-8 - Configuration spaces in collision free simultaneous motion planning problem |
| Grantee: | Cesar Augusto Ipanaque Zapata |
| Support Opportunities: | Scholarships in Brazil - Doctorate |