Guessing clubs for aD, non D-spaces

Mathematics – General Topology

Scientific paper

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9 pages, extended with remarks

Scientific paper

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.

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