Constant prediction and evasion number, I: Generalization and variants

Abstract

Using the concept of constant evasion to different sorts of suitable binary relations, we establish many cardinal invariants derived from the established cardinal invariants ${\mathfrak{e}}_n^{\mathrm{const}}$ and ${\mathfrak{v}}_n^{\mathrm{const}}$, called the constant evasion number and the constant prediction number. We formulate several limits and consistency results pertaining to them.

22 pages