We use 106 pb(-1) of data collected with the Collider Detector at Fermilab
to search for narrow-width, vector particles decaying to a top and an antit
op quark. Model independent upper limits on the cross section for narrow. v
ector resonances decaying to ti are presented. At the 95% confidence level,
we exclude the existence of a leptophobic Z' boson in a model of top-color
-assisted technicolor with mass M-Z' < 480 GeV/c(2) for natural width Gamma
= 0.012M(Z)', and M-Z' < 780 GeV/c(2) for Gamma = 0.04M(Z)'.