condensation; weaker connected topology; Luzin space
It is shown that no generalized Luzin space condenses onto the unit interval and that the discrete sum of $\aleph_1$ copies of the Cantor set consistently does not condense onto a connected compact space. This answers two questions from .
 Tkačenko M.G., Tkachuk V.V., Uspenskij V.V., Wilson R.G.: In quest of weaker connected topologies
. Comment. Math. Univ. Carolinae 37.4 (1996), 825-841. MR 1440714