4 papers
Approaches to critical point theory via sequential and parametrized topological complexity
Stephan Mescher, Maximilian Stegemeyer
The Lusternik-Schnirelmann category of a space was introduced to obtain a lower bound on the number of critical points of a -function on a given manifold. Related to Lusternik…
Geometric and topological properties of manifolds in robot motion planning
Stephan Mescher
Manifolds occur naturally as configuration spaces of robotic systems. They provide global descriptions of local coordinate systems that are common tools in expressing positions of…
Sequential topological complexity of aspherical spaces and sectional categories of subgroup inclusions
Arturo Espinosa Baro, Michael Farber, Stephan Mescher +1
We generalize results from topological robotics on the topological complexity (TC) of aspherical spaces to sectional categories of fibrations inducing subgroup inclusions on the le…
On the topological complexity of aspherical spaces
Michael Farber, Stephan Mescher
The well-known theorem of Eilenberg and Ganea expresses the Lusternik - Schnirelmann category of an aspherical space as the cohomological dimension of its fundamental group. In thi…