Gregory trees, the continuum, and Martin's axiom

Journal of Symbolic Logic 74 (2):712-720 (2009)

Abstract
We continue the investigation of Gregory trees and the Cantor Tree Property carried out by Hart and Kunen. We produce models of MA with the Continuum arbitrarily large in which there are Gregory trees, and in which there are no Gregory trees
Keywords Martin's axiom   Gregory tree   proper forcing
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DOI 10.2178/jsl/1243948337
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[Omnibus Review].Kenneth Kunen - 1969 - Journal of Symbolic Logic 34 (3):515-516.

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