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 anti-top quark. Model independent upper limits on the cross section for
narrow, vector resonances decaying to t anti-t are presented. At the 95%
confidence level, we exclude the existence of a leptophobic Z' boson in a
model of topcolor-assisted technicolor with mass M_Z'