3 citations · 3 across the 5 of their papers we have counts for
5 papers
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…
Cancellations for Circle-valued Morse Functions via Spectral Sequences
Dahisy V. S. Lima, Ketty A. de Rezende, Mariana R. da Silveira +1
In this article, a spectral sequence analysis of a filtered Novikov complex over is developed with the goal of obtaining results relat…
An Algorithmic Approach to Algebraic and Dynamical Cancellations associated to a Spectral Sequence
Maria Alice Bertolim, Dahisy V. S. Lima, Margarida P. Mello +2
In this article we study algorithms that arise in both topological and dynamical settings, namely, the Spectral Sequence Sweeping Algorithm (SSSA) and the Row Cancellation Algorith…
Smale flows on
Ketty A. de Rezende, Guido G. E. Ledesma, Oziride M. Neto
In this paper, we use abstract Lyapunov graphs as a combinatorial tool to obtain a complete classification of Smale flows on . This classification g…
Generalized Topological Transition Matrix
Robert Franzosa, Ketty A. de Rezende, Ewerton R. Vieira
This article represents a major step in the unification of the theory of algebraic, topological and singular transition matrices by introducing a definition which is a generalizati…