A Nonseparably Connected Metric Space as a Dense Connected Graph

Abstract

We present a connected metric space that does not contain any nontrivial separable connected subspace. Our space is a dense connected graph of a function from the real line satisfying Cauchy's equation.

References in corpus (1)

• On locally extremal functions on connected spaces

Cited by in corpus (3)

• Nonseparably connected complete metric spaces
• Connected, not separably connected complete metric spaces
• Connected economically metrizable spaces