2 papers
math.GT2025
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…
math.GT2024
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…