3 papers
math.DS2020
Gutierrez-Sotomayor Flows on Singular Surfaces
Murilo A. J. Zigart, Ketty A. de Rezende, Nivaldo G. Grulha +1
In this work we address the realizability of a Lyapunov graph labeled with GS singularities, namely regular, cone, Whitney, double crossing and triple crossing singularities, as co…
math.GT2020
The Effect of Singularization on the Euler Characteristic
Murilo A. de Jesus Zigart, Ketty A. de Rezende, Nivaldo G. Grulha +1
In this work, singular surfaces are obtained from smooth orientable closed surfaces by applying three basic simple loop operations, collapsing operation, zipping operation and doub…
math.DS2020
Homotopical Cancellation Theory for Gutierrez-Sotomayor Singular Flows
Dahisy V. S. Lima, S. A. Raminelli, K. A. de Rezende
In this article, we present a dynamical homotopical cancellation theory for Gutierrez-Sotomayor singular flows , GS-flows, on singular surfaces . This theory generalizes the…