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math.GN2014
Which connected spaces have a quotient homeomorphic to an arc
Michał Ryszard Wójcik
We announce and examine the conjecture that each infinite connected normal Hausdorff space has a quotient homeomorphic to the unit interval, shown to be true with the additional as…
math.GN2009
Connected, not separably connected complete metric spaces
T. Banakh, M. Vovk, M. R. Wójcik
In a separably connected space any two points are contained in a separable connected subset. We show a mechanism that takes a connected bounded metric space and produces a complete…