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arxiv: math/9311212 · v1 · submitted 1993-11-15 · 🧮 math.LO

On tree ideals

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keywords forcingidealslavermillerassociatedcardinalcollapseconsistent
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Let l^0 and m^0 be the ideals associated with Laver and Miller forcing, respectively. We show that add (l^0) < cov(l^0) and add (m^0) < cov(m^0) are consistent. We also show that both Laver and Miller forcing collapse the continuum to a cardinal <= h .

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