3 citations · 9 across the 17 of their papers we have counts for
22 papers
Spaces of countable free set number and PFA
Alan Dow, Istvan Juhasz
The main result of this paper is that, under PFA, for every {\em regular} space with we have ; in particular, implies $|X| \l…
On a problem of Angelo Bella
Istvan Juhasz, Lajos Soukup, Zoltan Szentmiklossy
The main result of this note is the following theorem. "If is any Hausdorff space with then ". Here $\widehat{…
The double density spectrum of a topological space
Istvan Juhasz, Jan van Mill, Lajos Soukup +1
It is an interesting, maybe surprising, fact that different dense subspaces of even "nice" topological spaces can have different densities. So, our aim here is to investigate the s…
On the cardinality of separable pseudoradial spaces
Alan Dow, Istvan Juhasz
The aim of this paper is to consider questions concerning the possible maximum cardinality of various separable pseudoradial (in short: SP) spaces. The most intriguing question her…
Densely k-separable compacta are densely separable
Alan Dow, Istvan Juhasz
A space has -compact tightness if the closures of -compact subsets determines the topology. We consider a dense set variant that we call densely k-separable. We consider the…
On the tightness of -modifications
Alan Dow, István Juhász, Lajos Soukup +2
The -modification of a topological space is the space on the same underlying set generated by, i.e. having as a basis, the collection of all subsets of . Be…