Lucas Alves de Almeida

COMPACT-RANGE VIETORIS POWERS OF COUNTABLE ORDINALS

For every ordinal ω < α < ω1, the ordered compact-set space K(α, ord) of Caruvana andHolshouser is second-countable and Lindelo¨f, but neither σ-compact nor Menger. This answersQuestion 2.18 of their published paper. We first prove that a second-countable ground space has asecond...