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Representing free Boolean algebras

100%

Dow A., Nyikos P.

Fundamenta Mathematicae

1992

tom 141

nr 1

21-30

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.

On uniform spaces with linearly ordered bases II ($ω_μ$-metric spaces)

70%

Nyikos P., Reichel H. C.

Fundamenta Mathematicae

1976

tom 93

nr 1

1-10

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Omitting cardinals in tame spaces

50%

Juhász I., Nyikos P.

Colloquium Mathematicum

1989

tom 57

nr 2

193-202

Ograniczanie wyników

2 Fundamenta Mathematicae

1 Colloquium Mathematicum

3 Nyikos P.

1 Dow A.

1 Juhász I.

1 Reichel H. C.

1 1992

1 1989

1 1976

Wyniki wyszukiwania

Representing free Boolean algebras

On uniform spaces with linearly ordered bases II ($ω_μ$-metric spaces)

Omitting cardinals in tame spaces