Is there a locally compact metalindelöf space $X$ with $|X|> 2^{\mathcal c}$, where $\mathcal c=2^\omega$?
Thanks for helps.
2026-04-14 15:24:59.1776180299
A question on locally compact metalindelöf spaces
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Sure: any discrete space $X$ with $|X|>2^\mathfrak{c}$ is an example: it’s metrizable, so it’s actually paracompact.