The topology of large-scale structure is studied as a function of gala
xy type using the genus statistic. In hydrodynamical cosmological cold
dark matter simulations, galaxies form on caustic surfaces (Zeldovich
pancakes) and then slowly drain onto filaments and clusters. The earl
iest forming galaxies in the simulations (defined as ''ellipticals'')
are thus seen at the present epoch preferentially in clusters (tending
toward a meatball topology), while the latest forming galaxies (defin
ed as ''spirals'') are seen currently in a spongelike topology. The to
pology is measured by the genus (= number of ''doughnut'' holes minus
number of isolated regions) of the smoothed density-contour surfaces.
The measured genus curve for all galaxies as a function of density obe
ys approximately the theoretical curve expected for random-phase initi
al conditions, but the early-forming elliptical galaxies show a shift
toward a meatball topology relative to the late-forming spirals. Simul
ations using standard biasing schemes fail to show such an effect. Lar
ge observational samples separated by galaxy type could be used to tes
t for this effect.