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Dominating analytic families

100%

Kamburelis A.

Fundamenta Mathematicae

1998

tom 156

nr 1

73-83

Let A be an analytic family of sequences of sets of integers. We show that either A is dominated or it contains a continuum of almost disjoint sequences. From this we obtain a theorem by Shelah that a Suslin c.c.c. forcing adds a Cohen real if it adds an unbounded real.

The measure algebra does not always embed

100%

Dow A., Hart K. P.

Fundamenta Mathematicae

2000

tom 163

nr 2

163-176

The Open Colouring Axiom implies that the measure algebra cannot be embedded into P(ℕ)/fin. We also discuss errors in previous results on the embeddability of the measure algebra.

Ograniczanie wyników

2 Fundamenta Mathematicae

1 Dow A.

1 Hart K. P.

1 Kamburelis A.

1 2000

1 1998

Wyniki wyszukiwania

Dominating analytic families

The measure algebra does not always embed