5 papers
The Specification Property on the Lelek Fan
Goran Erceg, James Kelly, Judy Kennedy +2
Recent work of Piotr Oprocha and his collaborators has provided a number of delicate examples of dynamical systems separating specification, shadowing, and periodic-point density,…
Towards the complete classification of fans
Iztok BaniÄ, Goran Erceg, Alejandro Illanes +3
A fan is an arcwise-connected continuum, which is hereditarily unicoherent and has exactly one ramification point. Many of the known examples of fans were constructed as 1-dimensio…
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 .…
Specification in Mahavier Systems via Closed Relations
Iztok BaniÄ, Goran Erceg, Ivan JeliÄ +1
We study two fundamental properties of topological dynamical systems, the specification property and the initial specification property, and explore their generalizations to the br…
Lelek-like Fans: Endpoint-dense Continua Supporting Topologically Mixing Maps
Iztok Banic, Goran Erceg, Ivan Jelic +1
The Lelek fan is the only smooth fan that has a dense set of end-points. In this paper, we study non-smooth fans with this property; i.e., we construct an uncountable family of pai…