Publication: The weak ultrafilter axiom
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Date
2015
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Springer Science + Business Media
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Citation
Woodin, W. Hugh. 2015. The weak ultrafilter axiom. Archive for Mathematical Logic 55 (1): 319–351. doi:10.1007/s00153-015-0467-2.
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Abstract
The main theorem is that the Ultrafilter Axiom of Woodin (J Math Log 11(2):115–37, 2011) must fail at all cardinals where the Axiom I0 holds, in all non-strategic extender models subject only to fairly general requirements on the non-strategic extender model.
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Keywords
large cardinals, set theory, axiam io
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