  The notion of nowhere denseness is one of the central concepts of the
recently developed theory of sparse graphs. We study the properties of nowhere
dense graph classes by investigating appropriate limit objects defined using
the ultraproduct construction. It appears that different equivalent definitions
of nowhere denseness, for example via quasi-wideness or the splitter game,
correspond to natural notions for the limit objects that are conceptually
simpler and allow for less technically involved reasonings.
