Compact Complement Topology is Second-Countable
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Theorem
Let $T = \left({\R, \tau}\right)$ be the compact complement topology on $\R$.
Then $T$ is a second-countable space.
Proof
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Sources
- Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (1970)... (previous)... (next): $\text{II}: \ 22: \ 5$
