6 citations · 20 across the 19 of their papers we have counts for
8 papers · 1 filter
A 0-dimensional, Lindelöf space that is not strongly D
Daniel T. Soukup, Paul J. Szeptycki
A topological space is strongly if for any neighbourhood assignment , there is a such that covers and is locally fin…
On spaces with -closed-discrete dense sets
Rodrigo R. Dias, Daniel T. Soukup
The main purpose of this paper is to study \emph{-separable spaces}, originally introduced by Kurepa as spaces; we call a space -separable iff has a dense set…
Partitioning bases of topological spaces
Daniel T. Soukup, Lajos Soukup
We investigate whether an arbitrary base for a dense-in-itself topological space can be partitioned into two bases. We prove that every base for a T_3 Lindelöf topology can be part…
Comparing weak versions of separability
Daniel T. Soukup, Lajos Soukup, Santi Spadaro
Our aim is to investigate spaces with sigma-discrete and meager dense sets, as well as selective versions of these properties. We construct numerous examples to point out the diffe…
A counterexample in the theory of -spaces
Daniel T. Soukup, Paul J. Szeptycki
Assuming , we construct a example of a hereditarily Lindelöf space of size which is not a -space. The example has the property that all finite powers a…
The Collins-Roscoe mechanism and D-spaces
Yuming Xu, Dániel Soukup
We prove that if a space X is well ordered , or linearly semi-stratifiable, or elastic then X is a D-space.