5 citations · 11 across the 11 of their papers we have counts for
14 papers
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 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…
Pinning Down versus Density
István Juhász, Lajos Soukup, Zoltán Szentmiklóssy
The pinning down number of a topological space is the smallest cardinal such that for any neighborhood assignment there is a set with $…
Decompositions of edge-colored infinite complete graphs into monochromatic paths
M. Elekes, D. T. Soukup, L. Soukup +1
An -edge coloring of a graph or hypergraph is a map . Extending results of Rado and answering questions of Rado, Gyárfás and Sárközy we prove…
Regular spaces of small extent are omega-resolvable
Istvan Juhasz, Lajos Soukup, Zoltan Szentmiklossy
We improve some results of Pavlov and of Filatova, respectively, concerning a problem of Malychin by showing that every regular space X that satisfies Delta(X)>ext(X) is omega-reso…