  We investigate the dependence of the galaxy properties on cosmic web
environments using the most up-to-date hydrodynamic simulation: Evolution and
Assembly of Galaxies and their Environments (EAGLE). The baryon fractions in
haloes and the amplitudes of the galaxy luminosity function decrease going from
knots to filaments to sheets to voids. Interestingly, the value of L$^*$ varies
dramatically in different cosmic web environments. At z = 0, we find a
characteristic halo mass of $10^{12} h^{-1}\rm M_{\odot}$, below which the
stellar-to-halo mass ratio is higher in knots while above which it reverses.
This particular halo mass corresponds to a characteristic stellar mass of
$1.8\times 10^{10} h^{-1}\rm M_{\odot}$. Below the characteristic stellar mass
central galaxies have redder colors, lower sSFRs and higher metallicities in
knots than those in filaments, sheets and voids, while above this
characteristic stellar mass, the cosmic web environmental dependences either
reverse or vanish. Such dependences can be attributed to the fact that the
active galaxy fraction decreases along voids, sheets, filaments and knots. The
cosmic web dependences get weaker towards higher redshifts for most of the
explored galaxy properties and scaling relations, except for the gas
metallicity vs. stellar mass relation.
