Lajos Soukup

activity

19962025

most citedIntersection properties of open sets, II.

5 citations · 5 across the 6 of their papers we have counts for

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Showing 2025Show all

3 papers · 1 filter

math.LO2025

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

Lajos Soukup, Zoltán Szentmiklóssy

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

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 $κ$ there is a…

math.GN2025

Cut-and-choose games in topological spaces

Lucas Chiozini, Tamás Csernák, 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…

Noetherian Properties, Large Cardinals, and Independence Around ℵω​

Condensations with extra properties

Cut-and-choose games in topological spaces

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