2 papers
math.DS2026
Singular Morse-Smale Flows on Pseudomanifolds with Spherical-Cone Singularities: Conley Theory and Intersection Homology
Jean-Paul Brasselet, Dahisy Lima, Denilson Tenório +1
Classical Morse-Conley theory provides powerful tools for relating dynamical and topological invariants of smooth manifolds. In this paper, we extend this perspective to pseudomani…
math.DS2026
Singularity Collisions through Homotopical Dynamical cancellation
Dahisy Lima, Ketty de Rezende, Denilson Tenório
We introduce collisions of invariant sets and, in particular, consider dynamical homotopical cancellations that preserve the homotopy type of the underlying singular manifold. We d…