Either-Or Topology is Lindelöf/Proof 1
Jump to navigation
Jump to search
Theorem
Let $T = \struct {S, \tau}$ be the either-or space.
Then $T$ is a Lindelöf space.
Proof
We have:
Hence the result.
$\blacksquare$
Sources
- 1978: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (2nd ed.) ... (previous) ... (next): Part $\text {II}$: Counterexamples: $17$. Either-Or Topology: $2$