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Distributive proper forcing axiom and cardinal invariants

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Abstract

In this paper, we study the forcing axiom for the class of proper forcing notions which do not add ω sequence of ordinals. We study the relationship between this forcing axiom and many cardinal invariants. We use typical iterated forcing with large cardinals and analyse certain property being preserved in this process. Lastly, we apply the results to distinguish several forcing axioms.

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Authors and Affiliations

  1. Department of Mathematics, School of Computer Science, Guangzhou College, South China University of Technology, Guangzhou, 510800, People’s Republic of China

    Huiling Zhu

  2. Department of Mathematics, National University of Singapore, Singapore, 119076, Singapore

    Huiling Zhu

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  1. Huiling Zhu
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Correspondence to Huiling Zhu.

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Zhu, H. Distributive proper forcing axiom and cardinal invariants. Arch. Math. Logic 52, 497–506 (2013). https://doi.org/10.1007/s00153-013-0327-x

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  • DOI: https://doi.org/10.1007/s00153-013-0327-x

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Mathematics Subject Classification (2000)