6 citations · 13 across the 19 of their papers we have counts for
4 papers · 1 filter
Sectional category and The Fixed Point Property
Cesar A. Ipanaque Zapata, Jesús González
For a Hausdorff space , we exhibit an unexpected connection between the sectional number of the Fadell-Neuwirth fibration , and the fixed point property (…
Collision-free spatial motion of rigid bodies via topological complexity
Cesar A. Ipanaque Zapata
The Topological complexity a la Farber is a homotopy invariant which have interesting applications in Robotics, specifically, in the robot motion planning problem. I…
Cross-sections of Milnor fibrations and Motion planning
Cesar A. I. Zapata
Consider a fibration \[p:E\to S^{p-1}\] with fiber . We have the following natural question: Under what conditions does this fibration admit a cross-section? Our purpose is to d…
Multitasking collision-free motion planning algorithms in Euclidean spaces
Cesar A. Ipanaque Zapata, Jesus Gonzalez
We present optimal motion planning algorithms which can be used in designing practical systems controlling objects moving in Euclidean space without collisions. Our algorithms are…