Either-Or Topology is Not Locally Arc-Connected
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Theorem
Let $T = \left({S, \tau}\right)$ be the either-or space.
Then $T$ is not a locally arc-connected space.
Proof
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Sources
- Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (1970)... (previous)... (next): $\text{II}: \ 17: \ 4$
