A model for a very good scale and a bad scale
2008 ◽
Vol 73
(4)
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pp. 1361-1372
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Keyword(s):
AbstractGiven a supercompact cardinal κ and a regular cardinal λ < κ, we describe a type of forcing such that in the generic extension the cofinality of κ is λ, there is a very good scale at κ, a bad scale at κ, and SCH at κ fails. When creating our model we have great freedom in assigning the value of 2κ, and so we can make SCH hold or fail arbitrarily badly.
Keyword(s):
2019 ◽
Vol 20
(01)
◽
pp. 2050003
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Keyword(s):
2012 ◽
Vol 77
(3)
◽
pp. 1011-1046
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Keyword(s):
Keyword(s):