3 papers
math.DS2025
Transitivity in CR-Dynamical Systems
Sina Greenwood, Andrew Wood
A CR-dynamical system is a pair , where is a compact metric space and is a closed relation (CR) on . In this paper, we introduce a new type of transitive point a…
math.GN2025
Retract or Not: A Tale of Two Fans
Iztok Banic, Goran Erceg, Sina Greenwood +1
Let be a Lelek fan or a Cantor fan and let be a Lelek fan or a Cantor fan. In this paper, we study embeddings that admit retractions from onto .…
math.DS2022
Transitive points in CR-dynamical systems
Iztok Banič, Goran Erceg, Sina Greenwood +1
We study different types of transitive points in CR-dynamical systems (X,G) with closed relations G on compact metric spaces X. We also introduce transitive and dense orbit transit…