3 papers
math.GN2022
A Hereditarily Decomposable Generalized Inverse Limit from a Function on [0,1] with cycles of all periods
Tavish Dunn, David Ryden
In this paper, we consider inverse limits of using upper semicontinuous set-valued functions. We aim to expand on a previous paper exploring the relationship between the ex…
math.DS2021
Periodicity and Indecomposability in Generalized Inverse Limits
Tavish J. Dunn, David J. Ryden
In this paper, we consider inverse limits of [0,1] using upper semicontinuous set-valued bonding functions with the intermediate value property. Expanding on classical results by B…
math.GN2020
Connected Generalized Inverse Limits and Intermediate Value Property
Tavish Dunn
In this paper, we consider inverse limits of using upper semicontinuous set-valued functions. We introduce two generalizations of the Intermediate Value Property and prove…