Jan van Mill
On nowhere first-countable compact spaces with countable $\pi$-weight

Comment.Math.Univ.Carolin. 56,2 (2015) 237-241.

Abstract: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.

Keywords: $\pi$-weight; nowhere first-countable; $\kappa_B$; compact space

DOI: DOI 10.14712/1213-7243.2015.121
AMS Subject Classification: 54D35

PDF