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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 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 spaces, introducing the {\em point-separating number} and the {\em set membership number} as the ordinal-valued…