  Following the discovery by Quashnock and Lamb (1993) of an apparent excess of
$\gamma$-ray burst pairs with small angular separations, we reanalyze the
angular distribution of the bursts in the BATSE catalogue. We find that in
addition to an excess of close pairs, there is also a comparable excess of
antipodal bursts, i.e pairs of bursts separated by about 180 degrees in the
sky. Both excesses have only modest statistical significance. We reject the
hypothesis put forward by Quashnock and Lamb that burst sources are repeaters,
since it is obvious that this hypothesis does not predict an excess of
antipodal coincidences. Lacking any physical model of bursts that can explain
the antipodal pairs, we suggest that the two excesses seen in the data are
either due to an unusual statistical fluctuation or caused by some unknown
selection effect.
