We present results from searches for the top quark in p anti-p collisions at
the Fermilab Tevatron Collider.  The data sample was collected during 1988-89
with CDF detector and has an integrated luminosity of 4.1 pb**(-1).  Our
previous search for e mu final states for t anti-bar e nu b  mu nu anti-b
decays has been extended to incldue the ee any mu mu channels.  In addition,
we have searched in each event with a high transvese momentum lepton
accompanied by hadron jets for a low tranverse momentum muon as a tag of a bottom quark in t anti-t --> l nu b q anti-q anti-b decays.  A lower limit on the
top quark mass of 91 GeV/(c**2) is obtained at the 95% confidence level,
assuming Standard Model decays.