Nonseparably connected complete metric spaces

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.

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

References in corpus (2)

• On locally extremal functions on connected spaces
• A Nonseparably Connected Metric Space as a Dense Connected Graph