Anahí Rojas Carrasco
Universidad del Papaloapan, Mexico
Abstract: The notions of strongly transitive in the sense of Akin-Auslander-Nagar, very strongly transitive, and strongly transitive are three generalizations of topological transitivity. For a class of functions the following conditions can be considered:
1. If f, g ∈ M, then f × g ∈ M.
2. If f × g ∈ M, then f, g ∈ M.
In previous works various results related to the second condition were obtained for several classes of functions. This talk will study the first condition, where denotes class of strongly transitive in the sense of Akin-Auslander-Nagar, very strongly transitive, and strongly transitive. In particular, a construction will be presented that allows. In particular, a construction will be presented that allows obtaining examples of functions belonging to these classes whose product does not belong to the same class.
Semblance: Anahí Rojas Carrasco holds a PhD in Mathematical Modeling from the Universidad Tecnológica de la Mixteca (UTM), a degree she obtained in 2020. Since that same year, she has worked as a professor-researcher at the Universidad del Papaloapan, affiliated with the Bachelor’s program in Applied Mathematics and the Data Science and Mathematics Engineering program, where she carries out teaching, research, and student training activities.
Her research areas are Continuum Theory, Topological Dynamics, and General Topology. Her research has focused particularly on the study of dynamic properties in continua and hyperspaces, a field in which she has numerous publications.
She is a member of the National System of Researchers of Mexico (SNII), Level I, and she has the Recognition for Full-Time Professors with a Desirable Profile (PRODEP). She currently leads the Academic Group on Topology, Analysis, and Their Applications.
In addition to her teaching and research activities, she actively participates in outreach activities and approach to mathematics, particularly through mathematics fairs aimed at students at the primary, secondary, and higher education levels.