  In 1973, E.J. McShane proposed an alternative definition of the Lebesgue
integral based on Riemann sums, where gauges are used decide what tagged
partitions are allowed. Such an approach does not require any preliminary
knowledge of Measure theory. We investigate in this paper a definition of
measurable functions also based on gauges. Its relation to the gauge-integrable
functions that satisfy McShane's definition is obtained using elementary tools
from Real Analysis. We show in particular a dominated integration property of
gauge-measurable functions.
