Boolean algebras admitting a countable minimally acting group

• Autorzy: Aleksander Błaszczyk , Andrzej Kucharski , Sławomir Turek
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Projective Boolean algebra; Dense subalgebra; Regular subalgebra; Cohen skeleton; Cohen algebra; Group of automorphisms

Kategorie tematyczne

• 52A01: Axiomatic and generalized convexity
• 54D30: Compactness
• 54B35: Spectra
• 54A05: Topological spaces and generalizations (closure spaces, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 1
• Strony: 46-56

Daty

wydano

2014-01-01

online

2013-10-30

Twórcy

autor

Aleksander Błaszczyk

• University of Silesia

autor

Andrzej Kucharski

• University of Silesia

autor

Sławomir Turek

• Jan Kochanowski University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0325-6