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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.GN2023★ 1 cited
An embedding of the Cantor fan into the Lelek fan
Iztok Banič, Goran Erceg, Judy Kennedy
The Lelek fan is usually constructed as a subcontinuum of the Cantor fan in such a way that the set of the end-points of is dense in . It easily follows that the Lelek f…
math.GN2022★ 2 cited
The Lelek fan as the inverse limit of intervals with a single set-valued bonding function whose graph is an arc
Iztok Banic, Goran Erceg, Judy Kennedy
We consider a family of inverse limits of inverse sequences of closed unit intervals with a single upper semi-continuous set-valued bonding function whose graph is an arc; it is th…