Lajos Soukup

collaborators

3 papers

math.GN2026

Cut-and-choose games in topological spaces

Lucas Chiozini, TamÃ¡s CsernÃ¡k, Lajos Soukup

We study transfinite cut-and-choose games on $T_{0}$ spaces, introducing the {\em point-separating number} $p s (X)$ and the {\em set membership number} $s m (X)$ as the ordinal-valued…

math.LO2025

Noetherian Properties, Large Cardinals, and Independence Around $ℵ_{I ¨} $

Lajos Soukup, ZoltÃ¡n SzentmiklÃ³ssy

A base of a topological space is called {\em Noetherian } iff it does not contain an infinite strictly $\subseteq$ -increasing chain. We show that minimal cardinality of a regular s…

math.GN2025

Condensations with extra properties

IstvÃ¡n JuhÃ¡sz, 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 $I^º$ there is…

Cut-and-choose games in topological spaces

Noetherian Properties, Large Cardinals, and Independence Around ℵI¨​

Condensations with extra properties

Noetherian Properties, Large Cardinals, and Independence Around $ℵ_{I ¨} $