Marczewski-Burstin Representations of Boolean Algebras Isomorphic to a Power Set

• Autorzy: Artur Bartoszewicz
• Języki publikacji: EN

Abstrakty

EN

The paper contains some sufficient conditions for Marczewski-Burstin representability of an algebra 𝓐 of sets which is isomorphic to 𝓟(X) for some X. We characterize those algebras of sets which are inner MB-representable and isomorphic to a power set. We consider connections between inner MB-representability and hull property of an algebra isomorphic to 𝓟 (X) and completeness of an associated quotient algebra. An example of an infinite universally MB-representable algebra is given.

Kategorie tematyczne

• 06E25: Boolean algebras with additional operations (diagonalizable algebras, etc.)
• 03E20: Other classical set theory (including functions, relations, and set algebra)
• 28A05: Classes of sets (Borel fields, σ -rings, etc.), measurable sets, Suslin sets, analytic sets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: 53
• Numer: 3
• Strony: 239-250

Daty

wydano

2005

Twórcy

autor

Artur Bartoszewicz

• Institute of Mathematics, Łódź Technical University, Wólczańska 215, I-2, 93-005 Łódź, Poland

Identyfikatory

DOI

10.4064/ba53-3-1