2006/08/01 by Joan E. Hart, Hart, Joan E., Kenneth Kunen +1
Mathematics · #03E35 #54D05 #FOS: Mathematics #General Topology (math.GN) #Logic (math.LO) #math.GN #math.LO #msc:03E35 #msc:54D05
paper · pdf · doi:10.48550/arxiv.math/0608035
arxiv created 2006/08/01 · arxiv updated 2009/12/01
Assuming the Continuum Hypothesis, there is a compact first countable connected space of weight aleph1 with no totally disconnected perfect subsets. Each such space, however, may be destroyed by some proper forcing order which does not add reals.