On nowhere first-countable compact spaces with countable $\pi$-weight
Commentationes Mathematicae Universitatis Carolinae, Tome 56 (2015) no. 2, pp. 237-241.

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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.
DOI : 10.14712/1213-7243.2015.121
Classification : 54A25, 54D35
Keywords: $\pi$-weight; nowhere first-countable; $\kappa_B$; compact space
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Mill, Jan van. On nowhere first-countable compact spaces with countable $\pi$-weight. Commentationes Mathematicae Universitatis Carolinae, Tome 56 (2015) no. 2, pp. 237-241. doi : 10.14712/1213-7243.2015.121. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.121/

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