A model of $$\mathsf {ZFA}+ \mathsf {PAC}$$ with no outer model of $$\mathsf {ZFAC}$$ZFAC with the same pure part |
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| Authors: | Paul Larson Saharon Shelah |
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| Institution: | 1.Department of Mathematics,Miami University,Oxford,USA;2.Department of Mathematics,Hebrew University,Jerusalem,Israel |
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| Abstract: | We produce a model of \(\mathsf {ZFA}+ \mathsf {PAC}\) such that no outer model of \(\mathsf {ZFAC}\) has the same pure sets, answering a question asked privately by Eric Hall. |
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