Abstract
We show that the space of all Lelek fans in a Cantor fan, equipped with the Hausdorff metric, is homeomorphic to the separable Hilbert space. This result is a special case of a general theorem we prove about spaces of upper semicontinuous functions on compact metric spaces that are strongly discontinuous.
Citation
Jan J. DIJKSTRA. Lili ZHANG. "The space of Lelek fans in the Cantor fan is homeomorphic to Hilbert space." J. Math. Soc. Japan 62 (3) 935 - 948, July, 2010. https://doi.org/10.2969/jmsj/06230935
Information
