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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.DS2025
Specification in Mahavier Systems via Closed Relations
Iztok Banič, Goran Erceg, Ivan Jelić +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…
math.DS2025
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…