#Hyperspaces wiki cuchta code#

David Grow of Missouri University of Science & Technology and Dr. The second lecture concerned a new matrix special function on time scales developed with coauthors Dr. of University of Queensland, inspired by the Gompertz differential equation. The first was on a population model on time scales developed by him and his coauthor Dr. The second talk in Poland concerned a class of q-hypergeometric functions related to research Cuchta published in 2018 ().

closed sets, representations of hyperspaces, Borel codes, computability of connectedness notions, classification of Polish spaces. We prove that if X is a dendrite and the set of endpoints of X is dense, then the Vietoris hyperspace NC ( X ) of noncut subcontinua of X is homeomorphic to the Baire space of irrational numbers. Typical among these is that the function a:zA(zA(X)) cvf(X), which maps a collection of sets into its union, is continuous (Theorems 5.7.1 and 5.7.2). THE HYPERSPACE OF NONCUT SUBCONTINUA OF SOME DENDRITES Rodrigo Hernandez-Gutierrez, Jorge E. In particular, we discuss computability of points in co-c.e. Next we define certain functions among the hyper- spaces (Definition 5.5), and derive their properties (Corollary 5.6-Corollary 5.8).

#Hyperspaces wiki cuchta code#

freely available) code () to help make doing computer calculations in the area of time scales calculus more feasible. We present a survey on computability of subsets of Euclidean space and, more generally, computability concepts on metric spaces and their subsets. The project involves a student writing “open source” (i.e. Cuchta spoke about an undergraduate research project he has been organizing for the past year. All four lectures were in the area of time scales calculus. The second conference was the International Conference on Differential & Difference Equations and Applications in Lisbon, Portugal. The first conference was at the Dynamical Equations on Time Scales workshop held at the Mathematical Research and Conference Center in Bȩdlewo, Poland, which was funded mostly by a Fairmont State University foundation grant. Tom Cuchta, assistant professor of mathematics, was invited to two international conferences this summer and gave four lectures.