2007
DOI: 10.1016/j.topol.2006.04.008
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Covering a bounded set of functions by an increasing chain of slaloms

Abstract: A slalom is a sequence of finite sets of length ω. Slaloms are ordered by coordinatewise inclusion with finitely many exceptions. Improving earlier results of Mildenberger, Shelah and Tsaban, we prove consistency results concerning existence and non-existence of an increasing sequence of a certain type of slaloms which covers a bounded set of functions in ω ω .

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“…Kada has pointed out to us that in the Cohen model, θ * = c + for all f . This is proved in [6], where he also gives an elegant extension of Theorem 5.7.…”
Section: A Partial Characterization Of Odmentioning
confidence: 90%
“…Kada has pointed out to us that in the Cohen model, θ * = c + for all f . This is proved in [6], where he also gives an elegant extension of Theorem 5.7.…”
Section: A Partial Characterization Of Odmentioning
confidence: 90%