We construct a family of uncountably many pairwise non-homeomorphic smooth fans that admit transitive homeomorphisms. In addition, we show that the star of Cantor fans admits a transitive homeomorphism.
@article{arxiv.2309.04003,
title = {An uncountable family of smooth fans that admit transitive homeomorphisms},
author = {Iztok Banic and Goran Erceg and Judy Kennedy and Chris Mouron and Van Nall},
journal= {arXiv preprint arXiv:2309.04003},
year = {2023}
}