Interval generalizations of the bounding and dominating numbers either match the classical b and d or reverse them according to the choice of universal versus existential quantifiers.
Combinatorial cardinal characteristics of the continuum
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Revisiting $\mathfrak b$ and $\mathfrak d$ through Interval Structures
Interval generalizations of the bounding and dominating numbers either match the classical b and d or reverse them according to the choice of universal versus existential quantifiers.