How many normal measures can ℵmath image carry?

Mathematical Logic Quarterly 56 (2):164-170 (2010)
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Abstract

Relative to the existence of a supercompact cardinal with a measurable cardinal above it, we show that it is consistent for ℵ1 to be regular and for ℵmath image to be measurable and to carry precisely τ normal measures, where τ ≥ ℵmath image is any regular cardinal. This extends the work of [2], in which the analogous result was obtained for ℵω +1 using the same hypotheses

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10.1002/malq.200910003

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Citations of this work

Controlling the number of normal measures at successor cardinals.Arthur W. Apter - 2022 - Mathematical Logic Quarterly 68 (3):304-309.

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References found in this work

Making all cardinals almost Ramsey.Arthur W. Apter & Peter Koepke - 2008 - Archive for Mathematical Logic 47 (7-8):769-783.
A Cardinal Pattern Inspired by AD.Arthur W. Apter - 1996 - Mathematical Logic Quarterly 42 (1):211-218.
Adding closed cofinal sequences to large cardinals.Lon Berk Radin - 1982 - Annals of Mathematical Logic 22 (3):243.

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