# Compact metric space Peano space iff property S

## Theorem

A nonempty compact metric space $(X,d)$ is a Peano space if and only if $(X,d)$ has property S.

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A nonempty compact metric space $(X,d)$ is a Peano space if and only if $(X,d)$ has property S.

- This page was last edited on 23 September 2016, at 17:29.