Can the continuum $\mathfrak c$ be a limit cardinal?
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2026-04-06 13:26:14.1775481974
Can the continuum $\mathfrak c$ be a limit cardinal?
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Yes. The only restriction is that $\mathfrak{c}$ must be a cardinal of uncountable cofinality. So $\mathfrak{c}$ can be $\aleph_{\omega_1}$, but not $\aleph_\omega$.