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$P_{λ}$-sets and skeletal mappings

100%

Błaszczyk A., Brzeska A.

Colloquium Mathematicum

2013

tom 131

nr 1

89-98

We prove that if the topology on the set Seq of all finite sequences of natural numbers is determined by $P_λ$-filters and λ ≤ 𝔟, then Seq is a $P_λ$-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.

Boolean algebras admitting a countable minimally acting group

81%

Błaszczyk A., Kucharski A., Turek S.

Open Mathematics

2014

tom 12

nr 1

46-56

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.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Open Mathematics

2 Błaszczyk A.

1 Brzeska A.

1 Kucharski A.

1 Turek S.

1 2014

1 2013

Wyniki wyszukiwania

$P_{λ}$-sets and skeletal mappings

Boolean algebras admitting a countable minimally acting group