A construction of the Gleason space
A note on zero-dimensional preimages of compact spaces
-sets and skeletal mappings
We prove that if the topology on the set Seq of all finite sequences of natural numbers is determined by -filters and λ ≤ , then Seq is a -set in its Čech-Stone compactification. This improves some results of Simon and of Juhász and Szymański. As a corollary we obtain a generalization of a result of Burke concerning skeletal maps and we partially answer a question of his.
On minimal dynamical systems on Boolean algebras
Boolean algebras admitting a countable minimally acting group
The aim of this paper is to show that every infinite Boolean algebra which admits a countable minimally acting group contains a dense projective subalgebra.
Topological multidimensional van der Waerden theorem
A topological version of a combinatorial theorem of Katětov
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