4 papers · 1 filter
Condensations with extra properties
István Juhász, Jan van Mill, Lajos Soukup
We show that there are locally compact spaces that can be condensed onto separable spaces but not onto compact separable spaces. We also show that for every cardinal there is a…
Cut-and-choose games in topological spaces
Lucas Chiozini, Tamás Csernák, Lajos Soukup
We study transfinite cut-and-choose games on spaces, introducing the {\em point-separating number} and the {\em set membership number} as the ordinal-valued…
Selectively pseudocompact spaces
István Juhász, Lajos Soukup, Zoltán Szentmiklóssy
A novel selection principle was introduced by Dorantes-Aldama and Shakhmatov: a topological space is termed {\em selectively pseudocompact} if for any sequence o…
On the companion of spaces having dense, relatively countable compact subspaces
István Juhász, Lajos Soukup, Zoltán Szentmiklóssy
The notion of "pseudocompactness" was introduced by Hewitt. The concept of relatively countably compact subspaces were explored by Marjanovic to show that a -space is pseudocomp…