Representing free Boolean algebras

• Autorzy: Alan Dow , P. Nyikos
• Języki publikacji: EN

Abstrakty

EN

Partitioner algebras are defined in [2] and are natural tools for studying the properties of maximal almost disjoint families of subsets of ω. In this paper we investigate which free algebras can be represented as partitioner algebras or as subalgebras of partitioner algebras. In so doing we answer a question raised in [2] by showing that the free algebra with $ℵ_1$ generators is represented. It was shown in [2] that it is consistent that the free Boolean algebra of size continuum is not a subalgebra of any partitioner algebra.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1992
• Tom: 141
• Numer: 1
• Strony: 21-30

Daty

wydano

1992

otrzymano

1991-01-21

poprawiono

1991-08-19

Twórcy

autor

Alan Dow

• Department of Mathematics, York University, North York, Ontario, Canada M3J 1P3

autor

P. Nyikos

• Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208, U.S.A.

Bibliografia

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