Abstract:We prove several results on some cardinal invariants of the continuum which are closely related to either the splitting number ${\frak s}$ or its dual, the reaping number ${\frak r}$.
Keywords: cardinal invariants of the continuum, splitting number, open splitting number, reaping number, $\sigma $-reaping number, Cicho\'n's diagram, Hechler forcing, finite support iteration
AMS Subject Classification: 03E05, 03E35