6 citations · 9 across the 3 of their papers we have counts for
3 papers
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.LO2010★ 3 cited
Club guessing for dummies
Daniel Soukup, Lajos Soukup
We give a direct, detailed and relatively short proof of Shelah's theorem on club guessing sequences on (for any regular, uncountable cardinal ).
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…