In this paper we introduce a new property of families of functions
on the Baire space, called pseudo-dominating, and apply the
properties of these families to the study of cardinal
characteristics of the continuum. We show that the minimum
cardinality of a pseudo-dominating family is min{𝖗,
𝖉}. We derive two corollaries from the proof:
𝖗 ≥ min{ 𝖉, 𝖚 } and
min{ 𝖉, 𝖗 } = min{ 𝖉,
𝖗_σ }. We show that if a dominating family is
partitioned into fewer that 𝖘 pieces, then one of the
pieces is pseudo-dominating. We finally show that 𝖚 <
𝖌 implies that every unbounded family of functions is
pseudo-dominating, and that the Filter Dichotomy principle is
equivalent to every unbounded family of functions being finitely
pseudo-dominating.