Full text
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| Author(s): |
Cesar Augusto Ipanaque Zapata
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2022-03-08 |
| Examining board members: |
Denise de Mattos;
Alice Kimie Miwa Libardi;
Thiago de Melo;
Pedro Luiz Queiroz Pergher
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| Advisor: | Denise de Mattos |
| Abstract | |
The aim of this work will be to present a topological study of the collision-free Robot Motion Planning Problem. Especifically, this project consists of the following important problems in the field of Geometry and Topology: (1) to study the collision free motion planning problem of some important mechanical spaces which appear in robotics. (2) to study the topological complexity of (some) mechanical spaces. (3) to study the variants of topological complexity and related problems. (4) to study the topological complexity of spherical spaces. (5) understanding of the structure of the cohomology ring of (some) configuration spaces. (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 |