Nonseparably connected complete metric spaces

2009/03/27 by Banakh, T., Vovk, M., Wójcik, M. R.
#54C30 #54D05 #FOS: Mathematics #Group Theory (math.GR) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.0903.4781

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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