P. Delaney, W. Just
Two remarks on weaker connected topologies

Comment.Math.Univ.Carolinae 40,2 (1999) 327-329.

Abstract: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 [2].

Keywords: condensation, weaker connected topology, Luzin space
AMS Subject Classification: 54D05, 54A35