3 citations · 9 across the 17 of their papers we have counts for
4 papers · 1 filter
Projective -character bounds the order of a -base
Istvan Juhasz, Zoltan Szentmiklossy
All spaces below are Tychonov. We define the projective pi-character p(X) of a space X as the supremum of the values where Y ranges over all continuous images of X. Our mai…
First countable spaces without point-countable -base
Istvan Juhasz, Lajos Soukup, Zoltan Szentmiklossy
We answer several questions of V. Tkačuk from [Point-countable -bases in first countable and similar spaces, Fund. Math. 186 (2005), pp. 55--69.] by showing that (1) there is a…
Resolvability vs. almost resolvability
Istvan Juhasz, Saharon Shelah, Lajos Soukup
A space X is kappa-resolvable (resp. almost kappa-resolvable) if it contains kappa dense sets that are pairwise disjoint (resp. almost disjoint over the ideal of nowhere dense subs…
Lindelof spaces of singular density
Istvan Juhasz, Saharon Shelah
A cardinal lambda is called omega-inaccessible if for all mu < lambda we have mu^omega<lambda. We show that for every omega-inaccessible cardinal lambda there is a CCC (hence cardi…