D. Soukup

activity

20102020

most citedProperties D and aD are different

6 citations · 20 across the 19 of their papers we have counts for

collaborators

Showing 2010 · math.GNShow all

3 papers · 2 filters

math.GN2010★ 6 cited

The Collins-Roscoe mechanism and D-spaces

Yuming Xu, Dániel Soukup

We prove that if a space X is well ordered $(α A)$ , or linearly semi-stratifiable, or elastic then X is a D-space.

math.GN2010

Guessing clubs for aD, non D-spaces

Daniel Soukup

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…

math.GN2010★ 6 cited

Properties D and aD are different

Daniel Soukup

Under $(♢^{*})$ we construct a locally countable, locally compact, 0-dimensional $T_{2}$ space $X$ of size $\omg$ which is aD however not even linearly D. This consistently…