Mikołaj Krupski

activity

20242026

collaborators

8 papers

math.GN2026

On the $A$ -invariance of the hereditary Baire property and related results

Mikołaj Krupski, Kacper Kucharski

We prove that if $X$ and $Y$ are first-countable perfect spaces such that the free Abelian topological groups $A (X)$ and $A (Y)$ are topologically isomorphic, then $X$ is a heredita…

math.GN2026

The Cartesian product of any family of $W$ -spaces is $κ$ -Fréchet-Urysohn

Mikołaj Krupski, Kacper Kucharski

In this note, we prove that an arbitrary product of $W$ -spaces is a $κ$ -Fréchet-Urysohn space. We also show that the boundary tightness of a product $X \times Y$ is at most $κ$ pro…

math.GN2026

Bounded uniform homeomorphisms between $C_{p}^{*}$ -spaces preserve pseudocompactness

Mikolaj Krupski, Vesko Valov

For any Tychonoff space $X$ let $C_{p} (X)$ (resp., $C_{p}^{*} (X)$ ) be the set of all continuous (resp., and bounded) functions on $X$ with the pointwise convergence topology. Given Tycho…

math.GN2026

LindelÃ¶f scattered $W$ -spaces are $I ¨ $ -compact

MikoÅaj Krupski

We show that every LindelÃ¶f scattered $W$ -space is $I ¨ $ -compact. This result generalizes a theorem proved recently by AvilÃ©s and the author in [Topology Appl. 363 (2025), Paper N…

math.GN2025

On the class of NY compact spaces of finitely supported elements and related classes

We prove that a compact space $K$ embeds into a $I ¨ $ -product of compact metrizable spaces ( $I ¨ $ -product of intervals) if and only if $K$ is (strongly countable-dimensional) heredit…

math.GN2025

Every LindelÃ¶f scattered subspace of a $I^£$ -product of real lines is $I ¨ $ -compact

We prove that every LindelÃ¶f scattered subspace of a $I^£$ -product of first-countable spaces is $I ¨ $ -compact. In particular, we obtain the result stated in the title. This answers…

On the A-invariance of the hereditary Baire property and related results

The Cartesian product of any family of W-spaces is κ-Fréchet-Urysohn

Bounded uniform homeomorphisms between Cp∗​-spaces preserve pseudocompactness

LindelÃ¶f scattered W-spaces are I¨-compact

On the class of NY compact spaces of finitely supported elements and related classes

Every LindelÃ¶f scattered subspace of a I^£-product of real lines is I¨-compact

On the $A$ -invariance of the hereditary Baire property and related results

The Cartesian product of any family of $W$ -spaces is $κ$ -Fréchet-Urysohn

Bounded uniform homeomorphisms between $C_{p}^{*}$ -spaces preserve pseudocompactness

LindelÃ¶f scattered $W$ -spaces are $I ¨ $ -compact

Every LindelÃ¶f scattered subspace of a $I^£$ -product of real lines is $I ¨ $ -compact