Somebody can to give me a simple example of Lindelöf space?
Note. Lindelöf space is a topological space in which every open cover has a countable subcover.
2026-02-23 05:18:32.1771823912
A simple example of Lindelöf space.
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The natural numbers with the discrete topology.
Given an open cover, $U_i$ let $U_n$ be some open set such that $n\in U_n$, then $\{U_n\mid n\in\Bbb N\}$ is a countable subcover.
Although simpler example, perhaps, would be any compact set. I still think that you may benefit from a non-compact example.