We examine the effect of suppressing the emission of gluons which are close
by in rapidity in the BFKL framework. We show that, after removing the unp
hysical collinear logarithms which typically arise in formally higher order
s of the perturbative expansion, the effect of the rapidity veto is greatly
reduced. This is an important result, since it supports the use of multi-R
egge and quasi-multi-Regge kinematics which are implemented in the leading
and next-to-leading order BFKL formalism. (C) 1999 Elsevier Science B.V. Al
l rights reserved.