Geodesic
Dominating analytic families
Fundamenta Mathematicae, Tome 156 (1998) no. 1, pp. 73-83
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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.
DOI : 10.4064/fm-156-1-73-83
Keywords: measure algebra, Cohen algebra, Suslin c.c.c. forcing, distributivity 
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Anastasis Kamburelis. Dominating analytic families. Fundamenta Mathematicae, Tome 156 (1998) no. 1, pp. 73-83. doi: 10.4064/fm-156-1-73-83

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