Abstract | ||
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We study the projective posets and their properties as forcing notions. We also define Martin's axiom restricted to projective sets, MA(proj) , and show that this axiom is weaker than full Martin's axiom by proving the consistency of ZFC + ¬ lCH + MA ( proj ) with “there exists a Suslin tree”, “there exists a non-strong gap”, “there exists an entangled set of reals” and “there exists κ < 2 0 ℵ such that 2 0 ℵ < 2 k ”. |
Year | DOI | Venue |
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1997 | 10.1016/S0168-0072(96)00035-8 | Ann. Pure Appl. Logic |
DocType | Volume | Issue |
Journal | 86 | 3 |
ISSN | Citations | PageRank |
Annals of Pure and Applied Logic | 2 | 0.71 |
References | Authors | |
10 | 2 |
Name | Order | Citations | PageRank |
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Joan Bagaria | 1 | 63 | 13.15 |
Roger Bosch | 2 | 11 | 2.97 |