The globular cluster u Centauri contains the largest known population of very hot horizontal-branch (HB) stars. We have used the Hubble Space T elescope to obtain a far-UV/optical color-magnitude diagram of three Ðelds in u Cen. We Ðnd that over 30% of the HB objects are "" extreme ÏÏ HB or hot post-HB stars. The hot HB stars are not concentrated toward the cluster center, which argues against a dynamical origin for them. A wide gap in the color distribution of the hot HB stars appears to correspond to gaps found earlier in several other clusters. This suggests a common mechanism, probably related to giant branch mass loss. The diagram contains a signiÐcant population of hot sub-HB stars, which we interpret as the "" blue-hook ÏÏ objects previously predicted by DÏCruz et al. These are produced by late He Ñashes in stars which have undergone unusually large giant branch mass loss. The cluster u Cen has a well-known spread of metal abundance, and our observations are consistent with a giant branch mass-loss efficiency which increases with metallicity.