Singular cardinals and strong extenders

2012/06/16 by Arthur W. Apter, James Cummings, Apter, Arthur W. +3
Mathematics · #03E45 #FOS: Mathematics #Logic (math.LO) #Primary 03E55 #Secondary 03E35 #math.LO #msc:03E35 #msc:03E45 #msc:03E55

paper · pdf · doi:10.48550/arxiv.1206.3703

8 pages

arxiv created 2012/06/16 · arxiv updated 2012/06/19

Abstract

We investigate the circumstances under which there exist a singular cardinal μ and a short (κ, μ)-extender E witnessing "κ is μ-strong", such that μ is singular in \Ult(V, E).

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