We give examples of $ n $-sequentially compact spaces that are not $(n+ 1) $-sequentially
compact under several assumptions. We improve results from Kubis and Szeptycki by …

Parametrized♦-principles introduced in [16] associated to the cardinal invariants s and b are
used to construct (1) a family of sequentially compact spaces whose product is not countably …

We give a combinatorial characterization of countable submaximal subspaces of 2 κ. Using
a parametrized version of Mathias forcing, we prove that there exists a countable …

We introduce and study a family of axioms that closely follows the pattern of parametrized
diamonds, studied by Moore, Hru\v {s}\'ak, and D\v {z} amonja in [13]. However, our …

We study forcing properties of the Boolean algebras P (ω)/I, where I is a Borel ideal on ω.
We show (Theorem 2.9) that (under a large cardinal hypothesis) P (ω)/I does not add reals if …

We give examples of n-Ramsey spaces that are not (n+ 1)-Ramsey under several
assumptions. We improve results from Kubis and Szeptycki by building such examples from …

Given a hereditarily meager ideal I on a countable set X we use Martin's axiom for countable
posets to produce a zero-dimensional maximal topology τ I on X such that τ I∩ I={∅} and …