Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/33386
Title: Distributive Proper Forcing Axiom
Authors: ZHU HUILING
Keywords: forcing, forcing axiom, DPFA, continuum, cardinal invariant, fragments of PFA
Issue Date: 11-Jan-2012
Citation: ZHU HUILING (2012-01-11). Distributive Proper Forcing Axiom. ScholarBank@NUS Repository.
Abstract: In this thesis, the distributive proper forcing axiom (DPFA) is studied. On one hand, DPFA implies that the continuum equals the second uncountable cardinal. On the other hand, assume the consistency of the existence of a supercompact cardinal, DPFA is consistently true with many consequences of CH, such as cardinal invariants of the continuum being the first uncountable cardinal and the existence of non isomorphic aleph_1- dense subsets of the real line. An application of these results is that DPFA can be separated from other fragments of PFA.
URI: http://scholarbank.nus.edu.sg/handle/10635/33386
Appears in Collections:Ph.D Theses (Open)

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