A power function with a fixed finite gap everywhere
Copyright policy )A power function with a fixed finite gap everywhere
AbstractWe give an application of the extender based Radin forcing to cardinal arithmetic. Assuming κ is a large enough cardinal we construct a model satisfying 2κ = κ+n together with 2λ = λ+n for each cardinal λ < κ, where 0 < n < ω. The cofinality of κ can be set arbitrarily or κ can remain inaccessible.When κ remains an inaccessible, Vκ is a model of ZFC satisfying 2λ = λ+n for all cardinals λ.
Large cardinals, modified Radin forcing, Mathematics - Logic, generalized continuum hypothesis, extender based forcing, singular cardinal hypothesis, 03E35, 03E55, forcing, FOS: Mathematics, 03E35, 03E55, 04A30, extender, Forcing, Consistency and independence results, Logic (math.LO)
Large cardinals, modified Radin forcing, Mathematics - Logic, generalized continuum hypothesis, extender based forcing, singular cardinal hypothesis, 03E35, 03E55, forcing, FOS: Mathematics, 03E35, 03E55, 04A30, extender, Forcing, Consistency and independence results, Logic (math.LO)
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