Hyperspaces and continua made in Puebla

Abstract: An interesting topic in Topology is Continuum Theory and its hyperspaces. A continuum is a compact connected nonempty metric space. Given a continuum X, we consider the collection of all nonempty closed subsets of X with the Hausdorff metric, denoted by 2^X, called the hyperspace of all nonempty closed subsets of X. Furthermore, another collection is the hyperspace of subcontinua of X, C(X). It is know that 2^X and C(X) are continua. The idea of this talk is to comment about obtained results related to Hyperspaces and Continuum Theory, at the Facultad de Ciencias Físico Matemáticas, BUAP, since 2004 up until now, in collaboration with our colleagues in Puebla and, of course, with our colleagues at the UNAM.

Semblance: María de Jesús López Toriz received her doctorate from UNAM in 2001, with the work titled Hyperspaces that are cones, with Professor Alejandro Illanes. She is a teacher and researcher at BUAP since 2004, since then she has been a member of the SNII. Her research area is the subject of hyperspaces of continua. She has published 22 articles on this subject in various journals. She has directed 5 bachelor's theses, 7 master's theses and is currently co-supervising a doctoral thesis. She has taught undergraduate courses in mathematics, applied mathematics, physics, applied physics, and actuarial. She has also participated in the revision of the subject plans and programs of these degrees. In addition, she is part of the faculty of the postgraduate mathematics of the FCFM of BUAP. She has been co-author of the texts Cálculo integral and Introducción a las estrcucturas algebraicas, which are used in the homonymous courses of the FCFM undergraduate degrees. The academic group of topology and its applications, of which she is a member, publishes annually since 2007, a book where various topics of topology are disclosed and in which topologists at a national level have participated. Since 2009 she has co-authored various chapters of said book. Currently, she is part of the editorial committee of this publication.