Now showing items 1-3 of 3

• #### Bredon Cohomology and Robot Motion Planning ﻿

[OWP-2017-34] (Mathematisches Forschungsinstitut Oberwolfach, 2017-11-29)
In this paper we study the topological invariant ${\sf {TC}}(X)$ reflecting the complexity of algorithms for autonomous robot motion. Here, $X$ stands for the configuration space of a system and ${\sf {TC}}(X)$ is, roughly, ...
• #### Hight functions on quaternionic Stiefel manifolds ﻿

[OWP-2015-10] (Mathematisches Forschungsinstitut Oberwolfach, 2015-07-29)
In this note, we study height functions on quaternionic Stiefel manifolds and prove that all these height functions are Morse-Bott. Among them, we characterize the Morse functions and give a lower bound for their number ...
• #### Topological Complexity, Robotics and Social Choice ﻿

[SNAP-2018-005-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2018-08-10)
Topological complexity is a number that measures how hard it is to plan motions (for robots, say) in terms of a particular space associated to the kind of motion to be planned. This is a burgeoning subject within the ...