3 papers
math.AT2021
Sequential motion planning assisted by group actions
Emmett Balzer, Enrique Torres-Giese
We study higher analogues of effective and effectual topological complexity of spaces equipped with a group action. These are -homotopy invariant and are motivated by the (highe…
math.GR2021
Commutator Equations in Finite Groups
Kanto Irimoto, Enrique Torres-Giese
The problem of finding the number of ordered commuting tuples of elements in a finite group is equivalent to finding the size of the solution set of the system of equations determi…
math.AT2019
Bidirectional Sequential Motion Planning
Enrique Torres-Giese
We define a simpler notion of symmetric topological complexity more ad hoc to the motion planning problem which was the original motivation for the definition of topological comple…