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arxiv: 1402.0367 · v4 · pith:BWDCGDO5new · submitted 2014-02-03 · 🧮 math.LO

Creature forcing and five cardinal characteristics in Cicho\'{n}'s diagram

classification 🧮 math.LO
keywords textnullalephcreaturemathfrakmeagercardinalcharacteristics
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We use a (countable support) creature construction to show that consistently \[ \mathfrak d=\aleph_1= \text{cov}(\text{NULL}) < \text{non}(\text{MEAGER}) < \text{non}(\text{NULL}) < \text{cof}(\text{NULL}) < 2^{\aleph_0}. \] The same method shows the consistency of \[ \mathfrak d=\aleph_1= \text{cov}(\text{NULL}) < \text{non}(\text{NULL}) < \text{non}(\text{MEAGER}) < \text{cof}(\text{NULL}) < 2^{\aleph_0}. \]

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