5 papers
On the -invariance of the hereditary Baire property and related results
Mikołaj Krupski, Kacper Kucharski
We prove that if and are first-countable perfect spaces such that the free Abelian topological groups and are topologically isomorphic, then is a heredita…
The Cartesian product of any family of -spaces is -Fréchet-Urysohn
Mikołaj Krupski, Kacper Kucharski
In this note, we prove that an arbitrary product of -spaces is a -Fréchet-Urysohn space. We also show that the boundary tightness of a product is at most pro…
Function spaces on separable compact lines
Kacper Kucharski
In this paper, we provide a complete isomorphism classification of the spaces of real-valued continuous functions endowed with the topology of pointwise convergence for se…
Characterizing function spaces which have the property (B) of Banakh
Mikołaj Krupski, Kacper Kucharski, Witold Marciszewski
A topological space has the property (B) of Banakh if there is a countable family of closed nowhere dense subsets of absorbing all compact subsets…
Some remarks on the projective properties of Menger and Hurewicz
Mikołaj Krupski, Kacper Kucharski
It is known that both the Menger and Hurewicz property of a Tychonoff space can be described by the way is placed in its Čech-Stone compactification . We provide analog…