Guessing clubs for aD, non D-spaces

Abstract

We prove that there exists a 0-dimensional, scattered $T_2$ space $X$ such that $X$ is aD but not linearly D, answering a question of Arhangel'skii. The constructions are based on Shelah's club guessing principles.

9 pages, extended with remarks

References in corpus (2)

• Properties D and aD are different
• Club guessing for dummies