A Nonseparably Connected Metric Space as a Dense Connected Graph

Michal Morayne; Michal Ryszard Wojcik

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arXiv · 0811.2808

A Nonseparably Connected Metric Space as a Dense Connected Graph

Michal Morayne·Michal Ryszard Wojcik

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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.

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Michal Morayne, Michal Ryszard Wojcik. 2008-11-17. A Nonseparably Connected Metric Space as a Dense Connected Graph. https://arxiv.org/abs/0811.2808

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