I. Juhász

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19982007

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math.GN2007

Projective $π$ -character bounds the order of a $π$ -base

Istvan Juhasz, Zoltan Szentmiklossy

All spaces below are Tychonov. We define the projective pi-character p(X) of a space X as the supremum of the values $π χ (Y)$ where Y ranges over all continuous images of X. Our mai…

math.GN2007

First countable spaces without point-countable $π$ -base

Istvan Juhasz, Lajos Soukup, Zoltan Szentmiklossy

We answer several questions of V. Tkačuk from [Point-countable $π$ -bases in first countable and similar spaces, Fund. Math. 186 (2005), pp. 55--69.] by showing that (1) there is a…

math.GN2007

Resolvability vs. almost resolvability

Istvan Juhasz, Saharon Shelah, Lajos Soukup

A space X is kappa-resolvable (resp. almost kappa-resolvable) if it contains kappa dense sets that are pairwise disjoint (resp. almost disjoint over the ideal of nowhere dense subs…

math.GN2002

Characterizing continuity by preserving compactness and connectedness

Janos Gerlits, Istvan Juhasz, Lajos Soukup +1

Let us call a function $f$ from a space $X$ into a space $Y$ preserving if the image of every compact subspace of $X$ is compact in $Y$ and the image of every connected subspace of…

Projective π-character bounds the order of a π-base

First countable spaces without point-countable π-base

Resolvability vs. almost resolvability

Characterizing continuity by preserving compactness and connectedness

Projective $π$ -character bounds the order of a $π$ -base

First countable spaces without point-countable $π$ -base