ABSTRACT
Theorem 1. Let S be a summant on figure C. d) I f I c s is finite then given ε > 0 there exists a gauge δ on C such that S ^ ( B ) < f BS + ε for every subfigure B of C. (ii) I f Jcs is finite then given ε > 0 there exists a gauge δ on C such that S($)(B) > JBS — ε for every subfigure B of C. ~ (Hi) I f S is integrable over C then given ε > 0 there exists a gauge δ on C such that Κ Σ θ'Χ #) ~ Jq <$1 5: ε for every subfigure B of C and δ-division B of B.
