326 citations
- Max Planck SocietyDE66 papers
- Max Planck Institute for Mathematics in the SciencesDE12 papers
- Collège de FranceFR3 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Northwestern UniversityUS2 papers
- Princeton UniversityUS2 papers
- The University of AdelaideAU2 papers
- University of OregonUS2 papers
- Algebra Bernays UniversityHR1 paper
- Baylor UniversityUS1 paper
- Brown UniversityUS1 paper
- Central China Normal UniversityCN1 paper
Showing 2002 · math.ATShow all
3 papers · 2 filters
math.AT2002★ 4 cited
Topological Robotics: Subspace Arrangements and Collision Free Motion Planning
Michael Farber, Sergey Yuzvinsky
We study an elementary problem of the topological robotics: collective motion of a set of distinct particles which one has to move from an initial configuration to a final conf…
math.AT2002★ 15 cited
Topological robotics: motion planning in projective spaces
Michael Farber, Serge Tabachnikov, Sergey Yuzvinsky
We study an elementary problem of topological robotics: rotation of a line, which is fixed by a revolving joint at a base point: one wants to bring the line from its initial positi…
math.AT2002
Homotopy and homology of fibred spaces
Hans-Joachim Baues, Davide L. Ferrario
We study fibred spaces with fibres in a structure category $\V$ and we show that cellular approximation, Blakers--Massey theorem, Whitehead theorems, obstruction theory, Hurewicz h…