I. Juh'asz

collaborators

3 papers

math.GN2025

All spaces of countable spread can be small

Alan Dow, IstvÃ¡n JuhÃ¡sz

The main result of this paper is the proof of the simultaneous consistency, modulo a weakly compact cardinal, of the equality $2^{< c} = c$ with the following…

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…

math.GN2025

Some new results on $I^$ -spaces

I. JuhÃ¡sz, J. van Mill, L. Soukup +1

A topological space $X$ is a $I^$ -space (or $X \in I^$ ) if for any decreasing sequence ${A_{n} : n < I ¨ }$ of subsets of $X$ with empty intersection there is a (decreasing) sequence…

All spaces of countable spread can be small

Condensations with extra properties

Some new results on I^-spaces

Some new results on $I^$ -spaces