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I'm looking for a topological definition of a triod as a compact metric space. I have an intuitive idea of what it is (three intervals with one shared point being a boundary point of each interval) but no strict definition.

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Just use a specific “instance”, e.g. $[-1,1]\times\{0\}\cup \{0\} \times[0,1]$ as a subspace of the Euclidean plane, and define it as any space homeomorphic to it.

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  • $\begingroup$ OK, cool, thanks $\endgroup$ – Simon Goodwin Jan 12 '18 at 9:34

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