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math.GN2010
Guessing clubs for aD, non D-spaces
Daniel Soukup
We prove that there exists a 0-dimensional, scattered space such that is aD but not linearly D, answering a question of Arhangel'skii. The constructions are based on…
math.GN2010★ 6 cited
Properties D and aD are different
Daniel Soukup
Under we construct a locally countable, locally compact, 0-dimensional space of size $\omg$ which is aD however not even linearly D. This consistently…