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Keywords:
$\pi$-weight; nowhere first-countable; $\kappa_B$; compact space
$\pi$-weight; nowhere first-countable; $\kappa_B$; compact space
Summary:
The minimum weight of a nowhere first-countable compact space of countable $\pi$-weight is shown to be $\kappa_B$, the least cardinal $\kappa$ for which the real line $\mathbb R$ can be covered by $\kappa$ many nowhere dense sets.
References:
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