If stellar remnants are cosmologically significant, the infrared flux from
the remnant progenitors would contribute to the opacity of multi-TeV gamma-
rays. The multi-TeV gamma-ray horizon is established to be at a redshift z
> 0.034 by the observation of the blazar Mrk 501. By requiring that the opt
ical depth due to gamma gamma --> e(+)e(-) be less than 1 for a source at z
= 0.034, we limit the cosmological density of stellar remnants, Omega(rm)
less than or equal to (2-4) x 10(-3) h(70)(-1) (h(70) is the Hubble constan
t in units of 70 km s(-1) Mpc(-1)), and thus strongly constrain stellar rem
nants as a cosmologically significant source of dark matter.