  We report on the morphological luminosity functions (LFs) and radial profiles
derived for the galaxy population within the rich cluster Abell 868 (z=0.153)
based purely on Hubble Space Telescope Imaging in F606W. We recover Schechter
functions for early(E/S0)-, mid(Sabc)- and late(Sd/Irr)- type galaxies. The
early-, mid- and late- types are all consistent with the recent field
morphological LFs based on recent analysis of the Sloan Digital Sky Survey --
Early Data Release (SDSS-EDR; Nakamura et al 2003). From a detailed error
analysis, including clustering of the background population, we note that
improved statistics can only come from combining data from many clusters. We
also examine the luminosity-density and number-density profiles as a function
of morphology and draw the following conclusions: (1) The galaxies responsible
for the steep faint-end slope are predominantly of late-type morphology, (2)
The cluster core is dominated by elliptical galaxies, (3) The core is devoid of
late-types systems, (4) The luminosity-density as a function of morphological
type is skewed towards early-types when compared to the field, (5) Up to half
of the elliptical galaxies may have formed from the spiral population through
core disk-destruction process(es). We believe the most plausible explanation is
the conventional one that late-types are destroyed during transit through the
cluster core and that mid-types are converted into early-types through a
similar process, which destroys the outer disk and results in a more tightly
bound population of core ellipticals.[Abridged].
