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Topological complexity of rational configuration spaces and applications

Topological complexity of rational configuration spaces and applications. EACAT4 2011. Configuration space . Robot motion planning. Jean Claude Latombe, Kluwer 1991. Topological robotics in motion plannings . Definition . Topological complexity . Remark. Michael Farber, 2003.

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Topological complexity of rational configuration spaces and applications

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  1. Topological complexity of rational configuration spaces and applications EACAT4 2011

  2. Configuration space Robot motion planning

  3. Jean Claude Latombe, Kluwer 1991 Topological robotics in motion plannings

  4. Definition

  5. Topological complexity Remark Michael Farber, 2003

  6. A. Schwarz Firstproperties

  7. Computing thetopologicalcomplexity M. Farber, J. González, S. Tabachnikov, S. Yuzvinsky,… y

  8. Corollary M. Farber, S. Tabachnikov, S. Yuzvinsky, 2003 J. Adem, S. Gitler, I. James, 1972

  9. Problem Michael Farber, 2005

  10. Rationalhomotopytheory: thebasics Dennis Sullivan 1977 Daniel Quillen 1969

  11. Theorem Problem’ Theorem L. Lechuga, A. M.

  12. Theanswer… B. Jessup , A. M., P.E. Parent Theorem

  13. Someapplications… Corollary 1. Topologicalcomplexity of formal spaces

  14. Examples…

  15. 2. Detection of spacesforwhich TC equalscat B. Jessup , A. M., P.E. Parent Theorem

  16. 3. Reducedtopologicalcomplexity Theorem

  17. 4. A robot withan extra arm Remark Theorem B. Jessup , A. M., P.E. Parent

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