2 citations · 2 across the 16 of their papers we have counts for
20 papers
On resolvability of products
István Juhász, Lajos Soukup, Zoltán Szentmiklóssy
All spaces below are and crowded (i.e. have no isolated points). For let be the statement that there are measurable cardinals and () that…
Large strongly anti-Urysohn spaces exist
István Juhász, Saharon Shelah, LAjos Soukup +1
As defined in [1], a Hausdorff space is strongly anti-Urysohn (in short: SAU) if it has at least two non-isolated points and any two infinite} closed subsets of it intersect. Our m…
Dominating and pinning down pairs for topological spaces
István Juhász, Lajos Soukup, Zoltán Szentmiklóssy
We call a pair of infinite cardinals with a dominating (resp. pinning down) pair for a topological space if for every subset of (resp. family $\mathcal{U…
On the free set number of topological spaces and their -modifications
István Juhász, Lajos Soukup, Zoltán Szentmiklóssy
For a topological space we propose to call a subset "free in " if it admits a well-ordering that turns it into a free sequence in . The well-known cardinal…
On first countable, cellular-compact spaces
István Juhász, Lajos Soukup, Zoltán Szentmiklóssy
As it was introduced by Tkachuk and Wilson, a topological space is cellular-compact if given any cellular, i.e. disjoint, family of non-empty open subsets of t…
Spaces of small cellularity have nowhere constant continuous images of small weight
István Juhász, Lajos Soukup, Zoltán Szentmiklóssy
We call a continuous map nowhere constant if it is not constant on any non-empty open subset of its domain . Clearly, this is equivalent with the assumption that e…