Nonseparably connected complete metric spaces

Details Nonseparably connected complete metric spaces Nonseparably connected complete metric spaces

2009-03-27

arxiv.org/abs/0903.4781v2

Mathematics

Metric Geometry

This manuscript is not intended for publication because we have a more advanced version already

Scientific paper

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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