Simpler Short Extenders Forcing- Preserving Strong Cardinals

نویسنده

  • Moti Gitik
چکیده

Our aim is to define a version of a simpler short extenders forcing preserving strong cardinals. 1 The Main Preparation Forcing In this section we will redefine the preparation forcing of [6] in order to allow eventually to preserve strong cardinals. The definition will follow those of [6] with certain additions. Fix two cardinals κ and θ such that κ < θ and θ is regular. Definition 1.1 The set P ′ consists of all sequences of triples. 〈〈A , A , C 〉 | τ ∈ s〉

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تاریخ انتشار 2006