Preservation of splitting families and cardinal characteristics of the continuum
Keyword(s):
AbstractWe show how to construct, via forcing, splitting families that are preserved by a certain type of finite support iterations. As an application, we construct a model where 15 classical characteristics of the continuum are pairwise different, concretely: the 10 (non-dependent) entries in Cichoń’s diagram, $$\mathfrak{m}$$ m (2-Knaster), $$\mathfrak{p}$$ p , $$\mathfrak{h}$$ h , the splitting number $$\mathfrak{s}$$ s and the reaping number $$\mathfrak{r}$$ r .
2019 ◽
Vol 60
(1)
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pp. 61-95
Keyword(s):
2017 ◽
Vol 56
(7-8)
◽
pp. 1045-1103
◽
2019 ◽
Vol 170
(1)
◽
pp. 1-35
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