Nonseparably connected complete metric spaces
classification
🧮 math.MG
math.GR
keywords
connectednonseparablyspacecompletemetriccontinuouscountablefirst
read the original abstract
A topological space is nonseparably connected if it is connected but all of its connected separable subspaces are singletons. We show that each connected first countable space is the image of a nonseparably connected complete metric space under a continuous monotone hereditarily quotient map.
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