3 citations · 9 across the 17 of their papers we have counts for
3 papers · 1 filter
Resolvability and monotone normality
Istvan Juhasz, Lajos Soukup, Zoltan Szentmiklossy
A space is said to be -resolvable (resp. almost -resolvable) if it contains dense sets that are pairwise disjoint (resp. almost disjoint over the ideal of nowhere den…
Resolvability of spaces having small spread or extent
Istvan Juhasz, Lajos Soukup, Zoltan Szentmiklossy
In a recent paper O. Pavlov proved the following two interesting resolvability results: (1) If a space satisfies $Δ(X) > \ps(X)$ then is maximally resolvable. (2) If a $T_3…
D-forced spaces: a new approach to resolvability
Istvan Juhasz, Lajos Soukup, Zoltan Szentmiklossy
We introduce a ZFC method that enables us to build spaces (in fact special dense subspaces of certain Cantor cubes) in which we have "full control" over all dense subsets. Using th…